{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<img src=\"http://hilpisch.com/tpq_logo.png\" alt=\"The Python Quants\" width=\"35%\" align=\"right\" border=\"0\"><br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Python for Finance (2nd ed.)\n",
    "\n",
    "**Mastering Data-Driven Finance**\n",
    "\n",
    "&copy; Dr. Yves J. Hilpisch | The Python Quants GmbH\n",
    "\n",
    "<img src=\"http://hilpisch.com/images/py4fi_2nd_shadow.png\" width=\"300px\" align=\"left\">"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Trading Strategies (a)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Simple Moving Averages"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Data Import"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import datetime as dt\n",
    "from pylab import mpl, plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "plt.style.use('seaborn')\n",
    "mpl.rcParams['font.family'] = 'serif'\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "raw = pd.read_csv('http://hilpisch.com/tr_eikon_eod_data.csv',\n",
    "                  index_col=0, parse_dates=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "DatetimeIndex: 2216 entries, 2010-01-01 to 2018-06-29\n",
      "Data columns (total 12 columns):\n",
      " #   Column  Non-Null Count  Dtype  \n",
      "---  ------  --------------  -----  \n",
      " 0   AAPL.O  2138 non-null   float64\n",
      " 1   MSFT.O  2138 non-null   float64\n",
      " 2   INTC.O  2138 non-null   float64\n",
      " 3   AMZN.O  2138 non-null   float64\n",
      " 4   GS.N    2138 non-null   float64\n",
      " 5   SPY     2138 non-null   float64\n",
      " 6   .SPX    2138 non-null   float64\n",
      " 7   .VIX    2138 non-null   float64\n",
      " 8   EUR=    2216 non-null   float64\n",
      " 9   XAU=    2211 non-null   float64\n",
      " 10  GDX     2138 non-null   float64\n",
      " 11  GLD     2138 non-null   float64\n",
      "dtypes: float64(12)\n",
      "memory usage: 225.1 KB\n"
     ]
    }
   ],
   "source": [
    "raw.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "symbol = 'AAPL.O'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "data = (\n",
    "    pd.DataFrame(raw[symbol])\n",
    "    .dropna()\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Trading Strategy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "SMA1 = 42  \n",
    "SMA2 = 252  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "data['SMA1'] = data[symbol].rolling(SMA1).mean()  \n",
    "data['SMA2'] = data[symbol].rolling(SMA2).mean()  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "data.plot(figsize=(10, 6));\n",
    "# plt.savefig('../../images/ch15/strat_plot_01.png')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "data.dropna(inplace=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "data['Position'] = np.where(data['SMA1'] > data['SMA2'], 1, -1)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>AAPL.O</th>\n",
       "      <th>SMA1</th>\n",
       "      <th>SMA2</th>\n",
       "      <th>Position</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2018-06-25</th>\n",
       "      <td>182.17</td>\n",
       "      <td>185.606190</td>\n",
       "      <td>168.265556</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-06-26</th>\n",
       "      <td>184.43</td>\n",
       "      <td>186.087381</td>\n",
       "      <td>168.418770</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-06-27</th>\n",
       "      <td>184.16</td>\n",
       "      <td>186.607381</td>\n",
       "      <td>168.579206</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-06-28</th>\n",
       "      <td>185.50</td>\n",
       "      <td>187.089286</td>\n",
       "      <td>168.736627</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-06-29</th>\n",
       "      <td>185.11</td>\n",
       "      <td>187.470476</td>\n",
       "      <td>168.901032</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            AAPL.O        SMA1        SMA2  Position\n",
       "Date                                                \n",
       "2018-06-25  182.17  185.606190  168.265556         1\n",
       "2018-06-26  184.43  186.087381  168.418770         1\n",
       "2018-06-27  184.16  186.607381  168.579206         1\n",
       "2018-06-28  185.50  187.089286  168.736627         1\n",
       "2018-06-29  185.11  187.470476  168.901032         1"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.tail()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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G3lAUJQpwqKpaVq/sTYBnnJ57rJ9ZVdVv3EnDgMNtrZCM4RNCCJ8jgY1oO4dTo6C0hgF9Qxrl5RZXkZFfAbgmXZj6ZHIw6Av8k3axKucrbJqd8MpR1Ow9C5PBxIcHPqGwptBzvMXPiK7rbM7ezs/OrzHFpAM6KzYfwxSd5bp+ziDC7P3RTDX4J+3CaDBy8+hrCDYHdcr9t4WqqlXAXcCriqI8DexWVfV74DHg7tpyiqKMBw6pqlpR7/A84DZFUZ5QFOV1YImqquvbWidp4RNCCF8lkzZEG9jdy6GEBVsa5S3bkOZ5PGakhc2OfRhMGs6SGK46fQpxwX35z6eF6FU1zO4/m2XpywhMPE7V4REAOP0qWbj3a3blu2b1WgaD3eRE10yYworQqkLQrcHEVE+kUivDai7kprG/Ii64b8ffeDtRVXUVsKpB2qMNnu8CdjVI2wNc0d71kYBPCCF8jTTwiXZQuyuGv7n5SZXBgX7sM67AYNKwHR3N1H5ncP6AkQDkFa8GoCwjllBzCOVRafjVmNBKo/kgbSFWzcrAsP70dYxhc+UKzANUAHTdgC11PAAGp4XwvOnkFlUw6f/Gd+Tt+jzp0hXCh0iDjoC6eE/eD3XktTh5DqfrVfMzNR8qTJ8SSqWzHEdBP5z5/ekbGejJu3jKAADCgwNJHnMd6CbMCYfxH7UZq2ZlzuALeWji3QwOVLAdPANHYRzOsijsR0ej17i6kZ2ajq6B0SArebSVtPB1ksrKCn7xi1m89to7jBgx0ivvrruSOffcmcybd50n7cMP/82bb77G9dffjNFo5MiRw1x77Q0kJCTyxhuvsmXLJu655wEuuOCiZq9ZUJDPRx+9T3Cw64NTWlrCNddcT79+8R1zk0KI7kUW4hNtUNvC52dqvsm4yi8HAK2sDwB93NufAYwfFs03m9Mpq7SRFDmUkPQLqApMZ/RoA0rkMGYkno3BYMBsMqKVR6GVRzU6v1PT0HQdo0y4aTNp4eskK1d+w7Rp57Js2Wde6UePHqFfv3iWLfvcK/3aa28E4Prrb+a22+7iqqvm8corLxAZGcWsWXOIjo45YbBXU1PDQw/dw69+dS3JyXeQnHwHN910K48//jBVVbIMjq8zSJ9e71a78HLX1kL0cLULIJuMdaHChZP71xUwaByp2QeAVuYK1sKD/T3ZESGusX+lla7lVXRrIJai4dw59iZm9p/mmTVt9mscikSGus6jaTqapmMytu53mi0vD3tRYcsFe6Fe08L38epUtjaz+fOpmjwilqvPG9aqshkZ6dx774Ncd91V/OY3DxAU5Jpl9P33K3n44ceZP/9WduzYxsSJpzd5fEFBAeHhEa2u29q1q+nffwB9+8Z50qKi+pCUNJy1a1cza1bXrmEkhOg4EvCL9vDqp7sBSMkoISE6mMyCSn513jCGJYTzxhd78Y/Oo8CWx+S+ExlzyRlsOZhHUmK45/ja4K+0wrUupLOZwM2viYAvMSaEkgorDk3H6dQxtiLgs+Xmkv6XPxAweAiJDz3aYvneptcEfF1p3769jB07gcjIKKZMOYtVq77h8svnYrVaMRqNBAUFMXfu1Sxb9nmjgO8///kXBoOBmppqHnvsqVZfMycnmz59ohulR0X1ISPjeJvvSQjRA0gTn2gHNTYnz991Fk5Nx2AwcPqIWF697xw+PPRfdhfChQNnEB8Sy+kjvDeS8LeY8Deb2Hu0CLtDw6npXuvv1WqqhW/a2H4cOFaE06ljd2onHEcIYM04zvG/PYNWU0PY1LPbdsM+qtcEfFefN6zVrXHtbfXqlQQEBJKaegiz2czSpZ9x+eVzWbPmO0pKilm06G1sNhubN2+kpKSEiIi6lrzrr7/Z0xp4MuLi+pGSojZKLyoqZPTo09p0P0IIIXqPQH8/jEaDVytbsSOf/UUHiA2Mpt8Jlkqx2l176a7cmo7TqeHXREuduUEwlxATzOQRsbz71QE0Tcfu0AgIMjd7DVt2Fln/eBWtuprouVcSOrVdtp71Ob0m4OsqlZUVhISEcvPNt3nSrr76cg4ePEBKyiEefPC3nvTi4iJWrFjONddc19SpTujjjz/i6qt/TVZWJvHxCZx77nl89NH75ObmeLp1i4oKOXhwP/fd93Dbb8xX+Nqgdh+7HXGKpEe3MflsnLLa8XT1rTy2Gofu5PJhl7RqB5PicmuzLXW1O23UcrpnB5uMBpyahsOpNQoKa2lWK9n/fBt7fj6Rs2YTdYkMV2qOBHwdyGaz8fzzz2I2130zOXYsjbCwcG677QYiI6O46qp5xMX1w2qtobq6ms8++5ghQ4Zy9KhrF5WPPnqfK674FZGRkQAUFxfz7bdfU1hYwHvvLfScNzMzg+LiYu6++1b+978vCAgI4IUXXuW///2PZ5ZuRUUFzz//CiEhjVdNF0L4Ds+yLL72hUZ0quAAPyprHNw8a4RXutVpY2+Bq3VvXPToE57j3PHxrN2VRUxEIDa7RoCliS7dBsHcjPGulSSMRgNOTcfh1Joc56c7HGQs+BvW9GOETplKzBVXnewt9ioS8HUgi8XCH//4V6+0gQMHsXDh+43K+vsH8Je/POd5PmXKVK9lWmpFRkby+OO/b/aaX3yxwvM4JiaWe+996FSq7vN8foa/r9+fEKdCPhcnxd9iIsBiIioswCv9m7TvsWl2JvYd12Lr3rih0azdlUW11QHQZMBXv9XvyRtOZ1BcKAAmk4EamxOHU28UFDqrKsl85SVqjhwhePwE+l5/4yndY28iy7IIIYSvcf8RlgY+cap0Xaes0tZoWzWn5mRdxkbCLaGc3396i+epHfdXWeMK+PybCPi0em/UIfFhnmOSEsIpLnct6VK/ha/q4AGOPv4oNYdTCRpzGv1uvR1jgHdQKhqTgE8IIXyMNGSJtqq2OnA4dcKCvAO+9PIMapw1nBY9iiBzYDNH16ldhqWqxg5AgKVxx2JEiGuM4MiBkV7pU8fULSsW5p60UbZ5I5mvvYxWVUXkhReTcM/9GANaroeQLl3Ry/laA4iv3Y8Q7UWXTwcA//0uhV2p+Tx965lNLodSq6zKFaA1bOHbW3gQACUqqVXXM3oCvua7dAP9/Xj9/umN8uoHh5Eh/hSt+IqCzz7FYDYTd+vthE2Z2qo6CBcJ+IQQwtd4mvgkyBF1NE1n1TbXOqzHcssZlhDebNmyStdiyfUDvhJrKd+nryXYHMSIyNYFfLUtfLsPu3a/aCrgAwgKaByO1M7eNeoaA/asoWD3BoyBgSTc+yCBSa27vqgjAZ/opXy708u37060RH7+Tevtr8ux3HLP48OZpScM+MrdLXyh9bp0t+TswK45uCLp0lZ15wKePXBrv3o01aXbHLPJSJStlPMLthJRlYUpPJwBTzyFuYlNBUTLZAyfEEL4Gpm0IZpQVFbjeZySUXrCsg6nBnjvgnG0NB2A06JHtfqaDbdEa66FryFd0wj4finJ6V8ytCoLLWEQg/70Vwn22qDFUFtRlDjgaWCcqqqT3WkW4CGgEhgFFKqq+jt33iNAGBAJrFRVdVkH1b3H+OKLT0lNTSEyMoqsrEyio2M47bSxLFz4Nv7+/rz99r+8yv/+949z5Egqycl3MHPmBQBomsZVV13Gvfc+yLnnnucpq2kay5Z9zsKFb/Hqq28yZEjX7CYihBCie1qy9jBWu5OE6GBP2o5D+azaepz/m9y/yWOcmivgq+2Sza3M40CRSoR/OBH+zbcMNtRw79zWBHzOqipyFr5N5e6f8YuKJmfCeZx99UUYTa0LFkXTWtO2Og1YCoyvl/ZbYK2qqusAFEUZ6/5/CjBTVdVLFEUxA/sVRVmnqmpJO9e7x6isrGDhwrf48stVGAwGHA4HL730d6ZNO5e1a9eQlnaEjRvXM3XqNACOHEklJyebQYMGe4I9gM2bf2LcuAksXfqZV8CXmnqI0aPHECBT0oUQDUgLn/jbhztQj7v+BF98xgAA+oT5U1hm5b/fp3D+pMRGrXDgvdsFwHfp67BrDi4bcvFJXb9xC9+Jw46atDRy3v0ntqxMAoYMIeHeB0mSzQLaRYsBn6qqnyqKMqNB8q+BdEVRJgJ9gNfc6XOAje7j7IqiHACmA13eyvdZ6nJ25u1p13NOiD2NucNOvI2L2WxB13UWL/6QWbPmEBERwSOPPOHJv+WW21m06B1PwLd8+VJmz76MrVs3eZ1n+/Zt/Pa3T3L11Zd5tk8DGD7cewV0cZJ87Q+i/IUX9IKFxU9FL/xoWO1OT7AHsE3NAyCpfwSF+3IBKKmwei2sXFVj57kPd3omUZiMBqrsVezI+5lI/wgmx004qTo0DPiaWocPwFFSQv7HiynftgU0jbCpZ9P35mQMRhl51l5O9ZUcBOiqqr4MrAU+dqfHAuX1ypW503oti8XCa6+9Q2qqynXXXclddyWzadNPnvypU6dhMBhYv34dKSmHGDBgkNdWbAD5+XnExcXh7+/P7NmX8+WXX3T2bQgheqReGOUIj/pj9gAKSl3PDfWmr3z+4xGvMruPFJKRX8Ehd6BoMhn5JGUZNU4r5yScidFwcmFDYKOlVhoHfNWHU0l76nHKt2zCHNWHfnffQ1zybRLstbNTnaVbBmx2P14PnKMoignIA0LrlQtzp3W5ucPmtNga11GGDBnKU0/9BafTydq1a3jyyUdZsmS5Jz85+Q7eeecNxo4dx/z597Nq1Tdex69cuYKSkhIWLXqb6upq1qz5juTkO/Dzk0nWohnSwiOQBt9GelnTZ2GDgK9WpXsRZIANe3JInl03CcPu0LzK6gYnu/L3Eh0Qxf8NnHHSdQhtsHBzw4CvfMtmsv/5FgAx835NxHkXSKDXQU71Vf0eGOJ+PBA4rKqqE1gOTAVQFMUP14SOdW2tZE+WnZ3Fs8/+GQCTycT06TMwm70/AGeeeRb+/v4MGTKsUeuepmmUlpYwf/59JCffwX33PcSAAQNZv35tp92DEKJnaWl/U9E7FJY2DvhumjWCGpuzLsFcw5Lda1m49wN+ytpKQUmVV/lsaxo2p42xMaNPunUPaLS4c/0xfOVbt5Dzr4UYzGbif3MfkRdcKMFeB2rNLN1zgeuBfoqiPAksAB4B/qQoynhgJHAdgKqqmxVFWaMoyjO4Zuk+2JsnbAAEB4dQVlbKq68uIDg4hOzsLO666x5SUg5x+HAKixd/wLx51/Hmm4sAyMg4zoYN60hPP8ZPP61n+/YtZGVlUlFRQUhICAUFBRiNRv7970VER8cyYMBAPvvsYyoqKli27HMuuOBixow5rYvvWgghRFdrqoVv3NA+DE0I56mFmzFG5GIZ9jOrC1ytejvzduOnB2AeGoFeE4yzKI71xT8CMDF2bLvUqbaFr3zHdnIWvQMmE3HJtxMybnwLR4q2as2kjbW4xunVlwnc2kz559uhXj4jLCyMZ59d0GTeu+9+2CgtMbE/f/1r3Ut41lnTvPKjo6N5+eU3vNJuuulWbrqpyR+HEKI3ky7dXkvXdbar+Y3SLWYTCSH+/OU3o3hm87dg0OlrGszFyhQOFR9mU9YO/PrkAGBOOEyVEy4edD6Dwwe2S738LSYq9+0l+83XwWAg/s75hIw/uYkg4tTIIDDRq8nfQ+GT3D26sn9snd72Suw+XEh2oXf3rMXPiL/Z1cK2NmM9GHRsh09jjHI2Z8QN4Yy4iaz+KhRjYDmGwEpMfbKZNngMswf/X/tUStcp37Ce3H+/C0DiAw8TNLL1iziLtpGATwghfIyM4PMNZVU2th7IY9rYfp5ArbWO51V4Pf9z8hkYcC2TklJ8mJ+ythJhjiS7MB6re0zfjkP54LCglfeB8j448wYw+7yzT2nsXiO6ziV5P5H73mHXmL277/H5YE9RlAuAubgmr+qqqv6pQf5NwJ1Abd/7IlVV/+POuw6YADhxzZN4u631kYBP9Eq+P6bd529QtEZva9ZqQU/7VKzensGyDWlsV/N49NcTqai2o6YXkxgbQt/IoBMea2kQIPaNDMTs50rbkrMDHZ05Ay7lnxvysNodOJwa/1y+v9F5IkP923wfj102lIw3XiexJh9LfAJxt9xKwKDBbT5vd6YoShDwFjBaVVWroihLFEU5X1XV7xsUnaeqalqDYxOBh4EJqqrqiqJsVfhqztMAACAASURBVBRltaqqKW2pkwR8Qgjhc7w3rBc9U+1s2oPpJdgdGm8t3cv+tGIAnr39TPpGNR/0hQV7r/jgZ3K10pVYS9ldsJ8QczBK1FAgjxqbk60H8zwtfQ/NG0+A2cTQhNZvodYca2YGhjeeJbGmhtSgBC588BH8IiLafN4eYCpwTFVVq/v5BmA2rlVO6vuNoig5QBDwuqqqRcBFwHZVVWs/whuBWYAEfEIIIer4fgt271C7vRmAw6lx8FjdohcZ+ZUnDPj83MubnDEyltOVWM9SPZ8cWkaFvZJfDL2EQIsrKMzMr2TLAdeSudecn8ToQVHtUn9bTjaZr76EXlPD8VHTiLrwkt4S7EHrNqJYC3ylqmq+oiiXAJ8A57fy2JPWLQK+yMgg/PxkU2TReSpKXV+6goIsxMSEtlC65wgIcP0Cj4oKJjpG9p/srUJCXN1w4WGBPvX+bgujwYDJz9ijXo/7r53E/ddO8jxf+sJlrT52Vkwos84Z2ij9ifPu9nr+5YLLT72CLYkJJeHddzru/N1bixtRqKp6tN7T1cCyeptYDGtwbGpbK9QtAr7i4qqWC/VgX3zxKampKURGRpGVlUl0dAynnTaWhQvfxt/fn7ff/pdX+d///nGOHEklOfkOZs68AHAtwHzVVZdx770Pcu6553nKvvrqAvz9AwgKCiI19RD33vsQffpEd+r99USl7sVFqyqt5OeXt1C656iudq2gX1RUiW6QDr3eqqLC9YWmtLTKp97fbaFpOk6H1mNej4pqO/e+8mOz+XdePpozRvZtMm/l1uMs/t7V+3fDxQozxrv2Xs+uzOXpzQuY3HciN42e5zrPgh+w2et213ho3vh2aeEr+HwJRV99SdCo0SQ++Eibz9fdtOKLw0ZgoKIo/u5u3bOBNxRFiQIcqqqWKYryLPCUqqoOIAk4qqqqU1GUb4F7FEUxuLt1pwKvtbXOsqR1B6usrGDhwrd46KHHSE6+g8cf/z0VFeVMm3YuSUnD0TQnGzeu95Q/ciSVnJxsBg0a7An2ADZv/olx4yawdOlnXucPCAjkjjvmc/31N5OUpPD+++922r2J7ku69Hq52mVZJOb31oM+F+VVthPmO7Xmf7i1wR6Aqd4vg205OwEYGlG3pp6lXu/arCkDGDkw8qTr2lCVepCiFV/hFxlF3xtuavP5eiJVVauAu4BXFUV5GtjtnrDxGFDbzJoDvKkoyhPAE7g2uUBV1QzgBeAlRVEWAAvbOmEDukkLX2fI/2Qx5du2tus5Q0+fTMxV805Yxmy2oOs6ixd/yKxZc4iIiOCRR57w5N9yy+0sWvQOU6e6Flhevnwps2dfxtatm7zOs337Nn772ye5+urLyMrKJD7e9Y3t9tvrmud1XScw8MQzt4QQvs/QkyIb0aSySu+A7/9O74/N4WT34UKKy61e4/tOxGh0vRcq7JWsTP+BMEso42Ma78Y0flg0V80c1ij9ZNnz88l86QXQNKKvvBpzdEybz9lTqaq6CljVIO3Reo9fOcGxHwAftGd9pIWvg1ksFl577R1SU1Wuu+5K7rormU2bfvLkT506DYPBwPr160hJOcSAAYMa7aebn59HXFwc/v7+zJ59OV9++UWj65SXl7NlyyZ+/evrO/yehBBCdKzyKrvXc3+LiRsvHsEV57q2sdeaab612p1ez03ugG9PwQE0XWNm/2mEWhqP7/W3tH0cve5wkLf4Q3SHg9hrbyBsypltPqdoP72mhS/mqnkttsZ1lCFDhvLUU3/B6XSydu0annzyUZYsWe7JT06+g3feeYOxY8cxf/79rFr1jdfxK1euoKSkhEWL3qa6upo1a74jOfkO/PxcP76KigoWLHiOxx//PWFhbZ9GL4To4aRLt8cra9Claza5fqgm9+xbp1NrdAzAPz7b4/XcaDRQ7ahh1bE1AIyPGeOV3zcqkIpMO/kl1W2uc/GqlVT+vAv/QYMJP3dGm88n2pe08HWw7Owsnn32zwCYTCamT5+B2WzxKnPmmWfh7+/PkCHDGrXuaZpGaWkJ8+ffR3LyHdx330MMGDCQ9etd2xuXlJTw4ot/Y/78+4iPT+CHHxou8SNORP4eCl8kHbpN6Vmf9oZdurXr6NW22DmcGgeLUvjo4KcsSfmS4+VZAOw9WuR1nMloYGvODnKr8pncdyKxQd5drLVj9mrPf6pK162lYMnHGAMCSLzvQQxGCS+6m17TwtdVgoNDKCsr5dVXFxAcHEJ2dhZ33XUPKSmHOHw4hcWLP2DevOt4881FAGRkHGfDhnWkpx/jp5/Ws337FrKyMqmoqCAkJISCggKMRiP//vcioqNjefHF53A6nfzpT08CEBQUzIwZ53flLQshupon4utZQY6oU+bu0h05MJIDx4oZ5Z45azIaMIYUsbpyMWW7CjzlVx//kauG/rLReYxGA7sLXDtoXD704kb5l541CKemc657Ju+pqDp4gLzFH2Lw96ffnfMxhfacpW96Ewn4OlhYWBjPPrugybx33/2wUVpiYn/++tfnPc/POmuaV350dDQvv/zGCc8hWmaQaaxCiG6s3N3Cd8dlozEYIDTI1TOUZUvDf9QWyjRX9+yMxGnkVeXzScpSPjn8OcbwSQwPT+JgumuR5jI9j4NFKSSGxBMZ0HjRY7OfiatmnPpkDUdpKZmvvIhutxN7w00Ej2k8IUR0DxLwCSGEj6mdpStj+Hqu8mo7BiAk0OyZaWtz2tha4lqb7zTTBdx22oUAJEUOoV9IHAu2vYFlyB5GDO6Dml+JXh3CxqI16OhcNnRWu9dR1zTyP/4vut1OzNXziJg+o92vIdqPBHxCCOFrpAG7x6uxObBYTJ5gD2BJypfk23JwFvUlJGygV/kh4QOx5I/GFr2fbzNWEnAa+On+HK+yMjJqOKP7KO1ex/LNGynfvAlLv3jCZ5zX8gGiS0nAJ4QQQnQjRWU1pOdWeKWtz9zE+qzNRPlHknl4LKXDGy/M7MgZRETVIC652J9d+Xs5XpZJUqTCL4fNbvc62ouKKPjiMzCZSLj3AYwWS8sHiS4lAZ/o3Xysy0uXPjxRj7wf6vSkl2Ll1uNez6vsVXySsgyz0Y9rlLm88GMmuw8XepXRdJ2qGgfx0eGcHT+Js+OndGgd8//7IY7CQiIvuhhzTO9dXLknkXnTQgjhY2ROUs9mMXv/ad6QtQWH5mD24AsZFe3qmrU7NG55bjV/+fdWamwOaqwOdCA4wNzEGdtXxe5dVOzcjv+gwURf+asOv55oHxLwiUacTmfLhXrgtXoT+YMvRGM9ZXZ+7Rp8t106iryqApYd+YYAkz9nxE1sVPZodjl3v7iOihoHAEEBHdtxp9XUkLPwn2AyEXPFVT3mNRUS8HWo/fv38pvf3M6dd97CokVvs2DB33jppb+jaU2vkN6chQvf8iy0nJ2dxbp1P3jytm3bwuuvv9xudf7xxx9YuXJFs/nPPPMnDh06eMJzrFy5gosvntlk3o4d20hJUT3P33tvIYcPp55aZYUQzZBZuj2FU9MoaLDLRVGZFYAJSdFszt6GpmtcmXQZ4f5hzZ5nd6prTb6E6OAOq6uu6xQu/RytqpKoS+YQNHJUh11LtD8J+DrQqFFjmDBhEmPGjCU5+Q4eeui3HD6cyubNP7V8cD3JyXcwbdq5gCvg+/HHHzx5p59+BvPn39cu9T1+PJ2lSz9j1qw5zZZ5/PHfM3z4iBOe58ILZxES0nivRoCdO7eTknLI8/zaa2/k73//Kw6H49QqLYRoRBpdegZN1/nf6lQefWsjB48VA/BzagF7jxZhMRupdJbzY+YmAkwBTOo7znPc9RcOb3SuNTszAZg8MrbD6lu24UeKV32LX2QUEefJAv89Ta+ZtPHT6sMcOZjXruccMiKWs84b2uryDoeDkpISwsMj2L17FytWfEViYiLHjqVx++13Ex0dw4sv/o2IiEisVisxMTFMmzaDV155nmHDhnPDDbewYsVyUlIOsWjR21xwwUUsW/YZqnqQ119/B6fTyT/+8TJhYeGUl5czYMBALr98Lh999D7/+tc/mT//Pvbt20tJSTHPPfciJpP3ZtkrViznjDNcm10fP57OM8/8iT59oomPj2fNmu/53e/+yMKFb3HJJZdyySWXoqoHWbTobUaMGInNZuO7777l/vsf9gSnX3yxhP3791JcXMRzz71IZmYGO3duJzX1ENnZWVx33U0EBAQQH5/Apk0bPMcJIURvsGTtYb7blgHAlgO5jBgYySuf7gbAZtf4IWM9lY4qrki6FIupbhZsQkzjL9TZhVUE+vsRHR7YIXW1ZmaQ//FiDH5+9H/sd/iFNt/aKLonaeHrBHv37mbRord57bUXueGGWxg5cjR/+MMT3H773Vx77Y1MmTKV119/mbKyMtavX8ell/6Cu+66B0UZSVxcHOecMwMAs9nMrFlzSEoaTnLyHQwcOIgrr5znuc6XX36Bw+Hgpptu5Z57HuDTTxeTlnaUX//6BsLDI5g48XR+97s/Ani1stU6evQI0dGub4f9+w/g0kt/gcFg4O677+Pll99g6NAkJkyY5Cn//PPPcOONydxyy+1MmjSZuLh+XkHbpEmTeeKJP2AwGEhJOcSAAQOZMGES55wzg+TkO/D39wcgJiaGo0ePtPfLLoSQPt1ubcWmdM/jvUeLqLbW9XT0iw5iT8F+/E0WzkmY6nVcaFDTEzPqH9/eCr/4HK2qiuir52Hu06fDriM6Tq9p4TvrvKEn1RrXnmq7dGsVFxdTWVlJZKRr0+qEhP6kpqYQFhbGffc9zHPPPY3VWsONNyaf1HUOH04lIaFuP8R+/RI4cuQwgwYNBqB/f9dCnRERkVRVVTY63m63NWr1qz02ISGxUfmjRw/Tv39/AOLjG+/DmJjoygsPj2jyerVMJj+sVusJ763d+XyXl8/foDgR949fwr3urW9UELlFVQAUlNawdleWJ+/iC/xZfKSQ8TGnYTZ6/6kODqwL+J6+dQpPLtwMgJ+pYz73FTu3u2blDhxExEzpyu2ppIWvC0RERBASEkJxcREAGRnpJCUNp7y8nIiISBYseJUHH/wtr7/+UqNjTSYTuq5jtdaQnp7mlTdsWBKZmZme59nZmQwdWrdHYkuzqWJj+1JeXtrq+xg0aAjp6a5vqFlZmY3ym7pebf3z8/MoLnaNWSkvL6Nv37hWX1cIcWIGCfh7BLvDSXR4APN/OQaAj9e4JrBNHh3J8uOudfcuGNB4qEtwvZm48dHBvHD3WfQJC+CeK8a2ex11h4PcD/+Dwc+PmF9dI7Nye7AWW/gURYkDngbGqao6uUHek8D9qqpG10t7BAgDIoGVqqoua98q9xwHD+7n5593Yrfb+eGH75kxw/XNyGAw8Mc//pW33nqdhIRE0tOPMX/+/Wiak08++Yjdu3dSUlLCVVddQ25uDhs2rKO8vJyjR48wePAQ8vPzeO21lzj77Ons3LmN3NwcNm7cwJw5l/P66y+zaNHblJeXc+WV8xg4cBCrV39HRUUFy5cvJSlJ4fDhFL799mvGjh2Pn1/dW2D69JmsXbuaOXN+QVFRoee627Zt4fTTz+DIkVR+/nknR46kMnnyFB555HH++c+3GDVqNGaz2fOL4ETXGzduAh9//BFbt272TDZR1QPccsvtnf8DEsLXSRNft2R3aCz43y6KyqzERwd7r51ndJAZsYoKeyWXDrmIweEDGh1vMhqZO30I0eEBAESFBfD83Wd1SF1LVn+Hs6SEiPPOJ2h4+2/PJjqPoaWV2BVFuRKwAn9QVfX0eukzgEuBG2sDPkVRprjLXaIoihnYD0xWVbXkRNfIzy+XX0vdxAsvPMsll1zKqFFjWix76NBBBg4cjL+/P7t27eCbb77isceeOqnrLV++FJvNxty5V51qlU9J1vESln64i0lnDeSM6YM79dodac3XBzm4O4df3zGF8MiOGbwtur8DP2fzwwqVmbNHMOI0aT0HePfl9QSH+vOr5MktF+5gb3yxl23uSYQD+4by22sncPeL68DowDL0Z0yR+UyIHcuNo+Y16s7tTLacHNKeehxjYCADnvwjltiOmwHc08TEhPa4ps4Wu3RVVf0UKK+fpihKX2Ae8FqD4nOAje7j7MABYHq71FR0iocffhyLxb9VZY8cOcxLL/2djz56n2+//Zqbb77tpK83YsSoTg/26tN9rQnEx25HnBpPr5tM2vDoLi9FaaXNE+wBRIcHEGDx45JzYrEk7cQUmU//kIQuD/Y0q5XcD/4Nuk7fG26WYM8HnPS7SVEUI/AM8DAQ3iA7FleQV6vMnSZ6kGHDklpV7uKLZ3PxxW3blLu11xJCiJ7ss3WHWf7TMWZN8e6iTZ4zErvmYLdhOabwIhIDB/Hw6bfj14XBnq5p5P33Q6oPHiBwuELIxEktHyS6vVN5R00E7MAduMbpBSqK8hiwBMgDQuuVDXOnCdGt9Li2+JMk46qFaKwrPxbLfzoGwIrNdUux3HbpKAIsfnxw4BMKa4qYFDuO60f9qkuDPYC8D9+nbP06LP3iSXjgIQxGmd/pC076XaWq6jZgG4CiKIOAZFVVn3M/Xw78wf3YDxgFrGuvygohhGgFg2yt1t3d/YsxnD4ilsLqYjZmb6VvUAzzlLld2o0LkL/kE0rX/oAlPp6E+x7CaLa0fJDoEVoM2xVFORe4HuinKMqTiqIEutOHAb/B1cL3pKIowaqqbgbWKIryDK7xfQ+2NGFDCCFE+5IG3u7HZHT9VIbGhzHv/CQmDo8BYFf+HgBm9j+HIHPXTbTSdZ2ib1dQvOIr/KL60O/O38gCyz6mxa8SqqquBdY2kZ6Kaxzfww3Sn2+32gkhhBA9XHmVDZPRQHx0ML+7wbPYBWW2cr5NW43JYGJczOgurCGUrV9HwSf/wxgYSOJDj2CRtVF9Tq/ZaUOIJvlYl5eP3Y44VZ6dNuQdUadrXouSCisPvr4BAIufd6fagcJDVDqqmDXofMIsoU0d3ilKN/xI7vvvYQwIYMATT0mw56Mk4BNCCB/j6dKVeK/LbTlQN2/xnHHxXnnHyo8DMLrPiE6tU33l27aQ959/YwwIIP7ue7D0i2/5INEqiqJcAMzFNXlVV1X1Tw3yfwvEATnAJOD3qqoedOelAWnuopmqql7b1vpIwCd6J5nGKnyZvL+b1skvS43NweLvUwC4/bJRnDnKu+UsvSwDo8FIYkjXBFnVqSnkLHwHXdfpd8utBI0c1SX18EWKogQBbwGjVVW1KoqyRFGU81VV/b5esRBccx10RVF+BTyPa0MLgPdUVf1je9ZJAj4hhBCiA3y9ybUUS2JMSKNgL7cyj/TyTBJC+mE2mZs6vEPZcrLJeOFv6A4H8b+5j5DxEzq9Dj5uKnBMVVWr+/kGYDbgCfhUVa2/NZURqKj3fLqiKI/iWupuhaqqP7W1Qt0i4IuMDMLPz9TV1RC9SHWFHYCgIAsxMV03dqa9Bbj35IyKCiGyT1AX10Z0lZywUgBCQvx96v3dFgaDAT8/U6e+HndcMZ47rhjfZF5MTCj/HfR6p9WlcQVCSVjyv667vu+LxXuXsmY3olAUxQLcCMyvl/yYqqpb3C2FOxRFmeOeLHvKukXAV1xc1dVVEL1MSYnrPVdZZSM/v7yF0j1HTbUNgKKiChyas4trI7pKeXmN+3+rT72/20LXdRwOZ6e+Hm98vodtaj4v3zONsGDv9eye3fIyuVV5LJj+F0zGzmvw0HWdvP+8R+m6tQSPG0/8b+7DIEMATlorvji0aiMKd7D3JvA7VVUP16arqrrF/X+Voii7gLOBNgV8sny2EEK0ka7rlFZYWy7Y6WTWRleqsjoACPT3blupcVjJrMhmQGhipwZ7APn/+4jSdWvx69OHfnfOl2Cv42wEBiqKUrs5/dnAV4qiRCmKEgbgXtf4beBFVVW3K4pyhTv9fEVRLq53rmHAYdqoW7TwCdHZ5FecaE/r92Tzr68PcuflozljZN8Wyx/OLCW7sIppY/t50tT0YmIjg4gM9T/BkSdHdtrwZujET75T09ifVkxokBlzw+VYig6hozMofEAzR3cMa1YWJau/xy8qisQHHsFo7vyxg72Fu2XuLuBVRVHygd2qqn6vKMrfgSLgOeBDYAwwWFEUgGDqtqn9o6IoE4F4YImqquvbWicJ+IQQoo1+2Jnl/j+zVQHfX/+zHYDJI2PxN5soLrfyt492AvDs7WfSN6r58Ze6rvPtluOcNrQPCdHBTZaRVpuu9+5XBwEIC2q8NdmKtO8wGoycGXd6o7yO4qyuJuPFv4OmEX3FVVjiZK29jqaq6ipgVYO0R+s9ntvMcXuAK9q7PtKlK4QQ7aR2+6zWstpd4yzLKm2etMff2XTCY/alFfHxmlT+/N7Wk6+g6DS7DxcAcNm0wV7pVfYqMiuyGRYxhPiQzgm6dE0j/38f4SwpIeKCCwk948xOua7oXqSFTwgh2sgzViug5S6yGpvD89hmc0KQa+ut1iouc40VtDu0lgtLl26XCQk0YzIamDzCe2Lm0TLXYstDwgd2Wl1K1nxP2fofMUfHEP3LK6QFuJeSFj7Ru/nYH0Qfu50eo7rGtczPtoONJuE1kl9S43lc28K3/1ixV5lvNqc3e3x5tb3Faxhka7VGOnM8o6brFJbV0Cc8sFGeWuxaiHlwWOeM36s6pFLw2RKMAQEk/vYJjP7tN0ZU9CwS8AkhRBvVtvC1Rm5R3TJUVrurla5hgPfxmuZXXygoqQbAzyS/vrurnMIqHE6dvlHeAV+5rYK1xzcQZgllWMTgZo5uP5rNRu6/FqLbrMReewPmyMgOv6bovuQ3huidfLxHQ7psOo+u6zicdc1Hi77af8Ly2fUCvrziKnKbWYe0sLSmyfQCd3pkaOPJAI0r13KRXqWTPhb70ooAGDHAO8A6UpqGQ3dybuJZBPgFdGgddE0j85UXsefnE3HeBYRNPatDrye6PxnDJ4QQbXA8r8Lr+YY9OSTPHsV2NZ/B/UKJCvP+w15RVdcl+86X+0mIcc20nTEhgZkTEvhmh8rWnF088fU+hg0xoxltnJMwlTPiJuBn9KPcffyJW/hckY3Ee13jv9+5um1HDfQO+NLc4/cGdUJ3bvG331CtHiRo5Cii517Z4dcT3Z8EfEII0QZbmxi3dzS7jH98vocAi4k3HjzXK6+82nuCRmZ+JQBnjIilzJTBAf9lmAe4um3TXFl8ePATPj70OVEBkRQFRmPq44fVFNNsnTwNvBLxdTqt3mDBPuHewf4xd8A3IDSxQ+tQsftnCpZ8jDEggL433izj9gQgAZ8QQrRJTqGrS/aeuaex7Kc0juWUe1r9amxOrDYnReU1/JxayMwJCWzal9vEWXSO2vfwze4VOHUNe0YSzuJYdGsgBrMNv77HSBxmJ6MiC2LzscRCtcNCVsX4TlvaQ7SOprkCvmGJ4V5DK7Irc0kpOUJCSD+CzI0nc7QXW14eeR+8DwYDCQ8+ijm6+S8GoneRgE/0cj7WBOJjt9PdpeeWs/1QPkMTwhifFM3Wg3kcyynnvRUHPWX+teIAWw7kYQwt5PP0DMxDDGgV4eCwoFkDMQZW4Nc3neXpZRgNRm4dcx1fpFWTXu0KGnWrH/b0kVxz3ukYAyr5y6erMEXmYYrM49Wd7/CHqY8Q6Nd0ACGzdDtfbcAXYPbeMm1b7i40XePiQed36PXz/vMejqJComZfSuCQIR16LdGzSMAnhBCn6Gh2GQDTx8ZjMBioaGLJlC0H8jAElWJRtmMwutfOi87yKqPrkBQxlBtGXU1UQCTjbtZZsvYIX2865inz5/e2cfXMYTgLEnEWJBI08AjlfQ+xWP2cG0fNw2ioG9MnXbpdp7ZL19hgEe7a7tzhkUM77Np5iz+k6sB+gkaPIfqX7b5Rg+jhJOATQohTVBvg1e5/e/k5g9l7tMirjDE8D0vSTgxGHVvqWLTqUPoklFNSVYXBbEW3++Ms7Md998/xdAEaDAaunDGUySNiWb0jgx93ZwPey7XouUNIHFrBttxdnBE3kdF9RtS7qszS7iq1LXz1d13RdZ308gyiA6IIMTe9HV5bVe7fR8l3qzDH9qXvDTd1yDVEzybLsgghxCmqsbkWTva3uLrvhsaHM3F43ZgpQ3AJlqRdANhSx+IsikevDiXGPhpH1jDsx1z/33T+pCaX0hkYF8okpekxWNU1MHfoZQBsydnRrvclTp1Ta9zCl1GRRaW9igFhHTNZoyYtjaxXXwKDgb433IS5T3SHXEf0bBLwCSHEKfIEfPXGa/mZ6v7Qm/sdxWDUsKWO5+azzick0LX12owJCfSPDQFg/LBozhkb3+w1YiIaj89LSgwHwFkWTp+AKLbl7mJH3u66ArU7bUiXbqerbeEz1gvgvzq6EoApcZPa/XrVKSkc/9tf0R0O4m6+laARI9v9GsI3SJeu6NXkD6JoC6s74Avwr/tVul3Ndz0wWzFG5KFVhaCV9KVfn2CevGESe44UcboSw+QRsdjsTkymE3e/xkYGMnJgJMfzKjxdyDMmJJCSUUpGQRU3jb6GBdv/wQ/HNzAxdixQv0NX3uC19E76sDsbdOlqukZK8VFig6IZE92+wZhWU0PeR++j2+30u/NuQk8/o13PL3yLtPAJIcQpqrG5tlSrPyPTz8/1a9U84AAGo44jbwDhIRYGxYUSGxnE+ZMSPd23FrMJk/HEv4ZNRiOPXDOBS88a5Ekb2DcUgMXfpzAwtD9JEUM4XHqUvQUH2vP2xCloOGnjWNlxapw1DAkf1O7Xyv7nW1iPHyf0zKkS7IkWScAneiVf33rMx2+v26ixe4/hAwgLMgM65sgCsAbhzOvPPXPHtvk9V78lsP4erem5FcwadAEGDPxX/QxN1+q6dFtx3qoaOzsO5XdaC1hX6ozPhVZvDJ9Tc/Le/sUATIg5rV2vU7Lmeyp/3kXAsCT63nhzu55b+CYJ+IQQ4hTV2JwYDGDxA2pkswAAIABJREFUq/tVajIaMQSWoxsdTB00ircemsGQ+LA2X6t+rGIyGj1bq6XllKNEDWNqv8mUWEtJLTmK4SQivne/Psjrn+1h476cNtext9N13TNL22Q0kFWZQ0F1IZP7TmjX7tyao0fI++gDjIGB9L32BozmVuyrLHq9FsfwKYoSBzwNjFNVdbI77SWgCqgAxgH3q6qa4857BAgDIoGVqqou66C6CyFEl7LanARYTF6td3dcNpo3Nx+kHBgaPhhLgwV4T1mD5qlHr5nAMx9sp6DEtQ3b2JhR/JS9hT0F+zndeFarT6umFwNw6HgpZ43p1z517aVSMkr5YOUhADLyKzhcWgiAEpXUbtew5eaQ8dIC0HXi774H//792+3cwre1poVvGrAU7y+Ylaqq/k5V1WeBncDvABRFmQLMVFX1KeABYIGiKBHtXGchhOgWamwOAize35vDIzUqww4SYg5u11adhr2RtWv/FZVbAVAihxFuCePHzI3YnDZaq3bM4bqfs1ooKVpS7P5ZAMRFBZFachSAoeED2+X8uq5TsOQTtKpK+vxiLkEjR7XLeUXv0GILn6qqnyqKMqNB2pP1nhpxtfQBzAE2usvYFUU5AEwHpJVPiE4gW2l1LqvNSVCA2SttZ94eNF1j1uALCLWEtN/FGkR84SEWDAYoLqsBwGKyMKXfJFb+P3vnGRhHde/tZ/uq915tWRr3im1cMMUYcCihBDA19NBDqAmXlpDwwg2EEC69t0AgFIMpprj33u2RZRWrd6202r4774ddrbQqVrdl+TxfNDM758xZbZnf/mvRciot3kzh7uLy8kpMmMxecWh028jduJu02CAUlwvF6cTjcOA2NwGgNhjQRcegiYhEGxUp3IjtUBSFyjpvX+UzpqYwc5qRF3buJiE4jriggamLV7fka8zbtmLIyCT63PMHZE7BiUO/yrL4rHdnAS09XOKBtmlijb5jAoFAMKz4ek0BjRYnUWFG/zG3x826sk2oUPlLpAwUESH6gL9ajZqIED1VDVYWrylg7oQksnyZoN42Xt13dHj/36uZUV9AdnMxKbZqeEOhuAdrUWm1BI0eS8jEiQRLY9AnJw/7RKgjsWFfBa9/vc+/P35kDIeadqKgcO6Iswbkf9O4cT213yxGExZG8h13n9D/b0Hf6LPgkyQpAngZuEGW5ZZeQlVAWJvTwn3HBAKBYMhSUWeh2eYkKzmiR+c3Whx8tcbrrmtbaHlb1S7Kmis4OfEkwvVhXQ3vE5NGxbJofjZTslutRVFhRgrKG1m8poBdh2r50zWTCdOHsrt6Pxmc1GEOxe3Gln8I847tNG7fxtVVlQB4UFFqjMOQkUlNs4txWXEYggzYFTUJKXGgVuGxWnHV1+NqqMdefBjLnl1Y9niLPRvSM4i/6hqCskYN6HMeeAZeJHkUJUDs5aRFIqVFsu6Atw/yqMiR/b6Gs66OynfeApWK+KuuRRcd3e85BScefRJ8kiTFAv8EHpBluVSSpEtkWf4cWAI87jtHC4wFVg3UYgUCgWCgsTvcPPz6BgD+cuMMUuOO7IZ1uT3c8681/v3Z4xP92wfqDwJwWtrcAV+nWqXirOmBAfrR4QYKvG12qWu0oVVruUK6mH9XfQd4C4u7Lc0079yBefs2LPv24rF5XcAutZZDIenkhaQy8rSTWbytBtyAEb4ubb3Gs2dPIzrcSHscFRVY8w5i3rGN5h3bKf5/fyVi3qnEXnIZmpDB6Rc72CiK0mvL2Z781t7Jd108gSk5cXgUDwWmImKM0UQY+if8PU4H5a+/guJykXDdDYSdNL1f8wlOXHqSpXsqcA2QJEnSI8BzwI++sR9JkgTQBHwuy/JGSZKWS5L0FN4s3XtlWW4YtNULBAJBP/l+Y5F/u6bB1q3gc7o8/m2DXsNpU1L8+wfrDxGsDSIlNLGzoQNOZIjBvx3k6/YxPmYMYc6lAJg2rif/w2UoDm+cnjY2lrCZswiZNJk/LKnCrfZmEE9LiAVqOr3GF6vyuem8jskB+sRE9ImJRMw9BUuuTNVHH2BatZLm3buJu/yK406Y7Cus49lPdvCHyyYxYWRMj8ftOOiNl7xifjZTfH2U15ZtxOKyMmUA3PqNa9ZgyztI8PiJhJ/c8+xrgaA9PUnaWAmsbHd46hHO/3t/FyUQCARHi6p6q3+70dJ9dmtL6yyA/7l6mt8itLliO7W2eibHjUetOjolTvV673W0Hhcjqg5w+IX1uMpLmd+sY0cKOMvK0EZEED5rDmHTZ6BLTPKvV/PjCtw+8WrUd106pqXsy5EIzpHIePQJqj/7Dw3Lfqb81Zewnb2Q2N9cNuRjzX7ZWsJHP+X697/fUNSt4PMoCiazg8o6CwdLTRj0Gs6Y1ir8t1TuQIWKc0ec1a+12cvKqFn8BSqtlsTrb0SlFd1QBX1HvHsEJzTDrrnAcHs+R4G2eqSpB4LP5W618CXHtroul5esQYWK80eeM6DrOxI6tYqJjQeZXbebSJcZG6AODsaQNRVssDMniBGX/I6Y6I6xdUFGLY6WDN12pWXCg3U0WpyoI6qoiN7Ki9u3cXH2eaSEdl2nT6XVEn/FVYTNPJny116mfun3uEwNJFxzHWqDoctxR40uPhttxR5ASmz3mdX/9/luduS1WkQTo4P9LfKcbieFjcWkhiX3251b++XneMxm4hZdhTaiZ/GlgqGDJElnAhfjzWVQZFn+c7vHjcCzQCmQDTwty3Ku77GrgSl4Ay0OybL8Wn/XIzptCE5IhrjRof8M+yc4cBRWNPm3a022bs9vEXyxEUZ/v1SL08LhxhJGRmSQGHJ0ChPYCgsYtfhlflW1nlC3hS0Ro3k1/UJG/etl4i+82Lsuo4Z/bXmfoipTh/EhbcrJhAUHlpa5+YJxaGJL0Gdvx2ms5kD9QZ7b+hLVltpu1xU0Mou0Bx9Gl5hI04b1FP35MSwHhkaP3558LLo752BJQ4DYg8DEncWHvsflcZETmdWXJfoxb9+Kebu3BEvk/DP7NZfg6CNJUjDwKvAHWZafACZKkjS/3Wn3AId9NY2fB97yjU0F7gful2X5QeAmSZL6Xb1bCD6BQHDCYne4Ka+1EB3utUCt2FFGdTcuzBaX7piMKP+xPbUHUFAYPYAdFbpCURTqln7P4b/+Gb2plj1hI3kt4yJ+jptBgz4ct8dDSzaqpzkcRWtjVd6eDvMEG1utemnxoejatIer8OSiG7EHPBrsB6azIOVM7G4H/9z+qr/G35HQxcSQ+cRfCT9lHs7qKkqefYayl17EUVnZ/39AP7A73exsI9ZqTL4uJVkxXH1WDgBWu+uIc3y1uqDDsZbWeWXmCpaXrCHWGM389Hl9XqfbYqHinbdR6XTEXXr5kHeLCzplFlAky3JLNe61wLntzjmX1trFu4FJkiSFA2cDW2VZbrFLrwcW9ndBqqHQMNvlcita7QC1HxIIekDp4QbeemE1s07LYsH5w6da/RcfbmPP9lLueexMwiOCjvVyBMeI/NxqPnxtA6eeLXGqT8ic6Dz1x2+JTwznpntOOdZLEQwPjqjCJUm6ArhcluULffs3AafJsnx1m3Nk3zk7fPslwGnApUCCLMv3+I7/FTo0veg1QyKGr77ecqyXIDjBaGhoBsBicVBd3dTN2ccPdrsTgNraZuyOI1sqBHDPi2tobA6M25s/LZWrFnQtkg5XNvHEO5s5c1oqVy7IobK5ir9sfJZp8ZO4YfxVg7ZWl6mBspf+hS0/H0N6Bkm33MrbG2vZtD+w1Okzt87C7nNN/3vpPl6seAW1wYY9dwqv37LI74b+8zubKar0vvcvvdzDkvyfQeV1V4fqQshxns3aTd7v5j/fMIOUuGAeX/8MjY4mbp14HWOiey4kFY+Hpk0bqPvhexwl3tLO2uhoIuadRuRpZ6AJHcCOJF0uAnKL6zn/vsUA/OPOOazfW8Fnyw9xx0UTmDQqhlv+voLR6ZE8eGXneYk782p44b+7GD8ymnsvmxzw2LLi1Xx+8BumxE/khnFX9ilxR3G5qPr4I0wrlxM8dhzJd9w9NOIfBR2Ii+s2PrMndYm7OqcKGNXueF6fFtoG4dIVnOAcewv3QDK8ns3gYrE5/WLvivnZXDAnE/BmbZbXNlPXaOPpD7fy1er8gHEut/e/rNV4vz73+2rvDUSB3c5QFIWGlcspeOh+bPn5hEycRMof7kOfmMTlZ2STmRh447HaXW3i0NQ4cqehKKBLPUhZQ2uVrBaxN3mckSUFP6LyaHA3ReEsz+Sxkx/gxjNO5pyZ6QA4XG7UKjVXSBfjUTx8k7+0V89BpVYTfvJsMp94kow//5XIM87E3dRE7VdfkH//PdR89TkeW/fZwP2h/Wfj3v9by/Zcr3s3OTYYrUZNkEFLVYOFzRXb+cfWl9lZvTdgzAc/ygBMzY4LOH6g7iBfH/oenVrLopyL+iT23GYzFe+8iWnlcrTRMSTdersQe8c364EMSZJaXsQ5wLeSJEX73LYA3+J1/SJJ0gRgpyzLjcBSYJokSS2f5FnA9/1dkBB8AoHghKS2sbXR/ZwJifx67gj//ro9FewpqCO3xMTXawvxtAl9aYn70mhU1Fjr+CrvO3RqLeNipEFZZ/V/Pqbqg/dQabXEXbaI5LvuQRvmvV9EhRm4/cLxAef/uLmYfUWtxYAVaxjummTUwWa+OuQtyGzyCd0ggxpNujehwp4/Dsf+mbiKRxOiCwZA74vrczq9lr+xMRKpocmUNpXh8vTNgmxISSX+yqvJev5fxF22CHVwMHVLvqHkn//A1VDfpzl7irpdLFxeqYmIED0JUd7nm5DowZyyinf3fcwhUyGv736PJflLyTcVYXXYqfO9Z9pOoygKX+V9i9Pj4sbxVxOq733RaWveQYr+/BhNGzegT0kl49En0AQfn8WrBV5kWbYAtwH/8rlkd8my/AvwR+B232kv4BWFjwD3ATf6xpbgzd59XpKk54A3ZVk+2N81DQmXrkAgGFhEiHf3NFu97u8L5mQSbAzMUt1XWEdBeROq4Ea0iQW8uasU1ArpwZl8utgrdJosDnZU78bpcXJ5zkXEBA1suyvF46Hy/XdoXLMaXUICybfdiSE1rcN5MRFGTpuSQlm1mdwSE+v2VLAbGN3m97yzcDzq8HpkdrOpYhspWglQiMk5zL5ambTQZHIbvNnFbbt5hAR5/y8l1WZG+5JU0sNTOdxUQllzBelhqX1+fmpjEFFnnUP4nFOoeOdNmnds5/DfniT13vvRJyX3ed4jXlOl6mDqS4oJRq1W4fK4aE5ei8ZtIkpJ4yxpGl/nL+X7wl/4vvAXgrXBaJNScVVkMCqltUTKJ7lfUmwuY2r8RCbE9j4e2LxrJ+Uvv4jichE5fwEx5//66Li4BYOOLMs/AT+1O/Zgm20rcEcXYz8EPhzI9QjBJxAITkjMPsHXImraUlDehDqqAn3WTlRqhZ213v5lO9mDYWwEjsKx1DsMHCxeg1qlZkr8hAFdm8dup+KdtzBv2YQ+OZnkO+5Gn9B59w6VSsW1Z0ss31ZCbknH8iv3LZqMUafh6W8r0WTt5r19n5CkktCmOqkNyidIa+TWSddz77KtAEzNaXVXzhyTwGfL81i7u4IzT/IKwYywVNYAhxoK+yX4zFYn360vYv60VJJvu5PaxV9S990Sip58gtT7/0jQyIF3kSsoaNSqgOLZk0bFoigKX+R9i9ltwlWZTlbEfOaljmFK/ET21x7kkKmATRXb0KXlYkjN54uSQuLrYjlkKqTUXE58cCyXZJ/f6/WY1qyi8t23QaUi6bY7CZvWsf+xQDBQCJeuQCA4ITHbvIIvtI1176J5XpGhDqtFP3I3KGrsuVOw75uJff904rWpqENNGMevJy9sMQ12E6elziFMP3AWGXdTE2WvvOQVeymppD7wxy7FXls0mtav8xY5o8LbRSPYqMVdl0Rk+RkoTj3liowu2RubeO/U24k0RPDQlVM4b3YG2amt1qvwED0hQTp/vB/AmOgcdGodS4uW9dmtC96Cxz9sOszPW4tRaTTEXHQJ8ddch+J0UvzM3zBv39bnubtCUbwWvZf+MI/YCCMTs2JYcFIau2r2sbJkLVGGKJylWaze5RX49fUKr75Xz09fRTLZsQhn2QiMqjAO1B9kVel6yswVjIsZze0TbyTS0LvCyLVff0Xlu2+jDgoi9f6HhNgTDDrCwicQCE5Imjux8M2dkMSXqw6hy9iPSuMm03Ya+xuM/sdHuyZTkr8eXepBtFqFK8ZdyKykgbtRe2w2yl5+EevBXIKyc0i59wHUuo4WyM5oH5/WQpBe66+xV1aihdJT0Y3Ygyaqkpmxs0n29f2V0qOQ0qM6jDf5unHklzUyMjmcKGMks5Kms6p0HQWmw2RH9c4SZ7E5ufOfq/37FbXeTGCVSkXkqaehDjJS+c5blL/2MnFXXk3kvNN6Nf+RUBTQaTUEGbT8723evrSFjYd5d9/HqFVqbp1wPY+t3gfAq4v3EBPR+tqv3FYFSJw1OptZk6KptdYRY4zudcyeoihUffAuplUr0UbHkHzbHRhHDE7Cj0DQFmHhE5zYDLe01uH2fAaRZqvXOhXaRvCFGLVoYspRB5vRm1OZEBOYELE7vw53TSq2HaeT3XjZAIs9K8V/fxrrwVxCJk4i9f6Heiz2ADTqzgWfUa9B17bOqaLBmT8J29azuHZyz92QlW3KZ42N8ZZkOVCX29XpXbJiR1nAvlYTeBsKn3EySbfchkqvp+r9dyl79SXclgEo3aUoKCj+RBQAm8vOJwe+wOF2cIV0CanhiaTFe621m/ZXsVXuWGQ6OsxAqC6EjPC0Xos9j9NJxRuvYVq1En1SMin33CfEnuCoIQSfQCA4IWmN4Wt1dLiwo8vci+JRE948mohQfcCYsprm1p0BFNcuk4nCRx/GXlRIyOQpJP3udlSa3hWjV3cp+LToNB2/6qdkx/aog0NCtDeDNcjQ+n/KjsxCq9KwumwDFc29656x+UBgKTKNpuMaQqdMJfX+h9DFJ2Despmixx/Bdriox9dQFMX/+rZHp2vtefvSzrcoNpdxUsJkZidP9167zQ+AqnorIUZtQFeVqDAjfcFjt1P57ls0bdqAPjmZ1PsfxJA8OMkpAkFnCMEnOCEZ9q2KhvnT6w9NFgd/+L81rNntjdMKC2oVdZsqtqPSuHGVZhGixHaocdeWgWpS5LY0U/7ay7jq6wmfcwpJN9/ap/prnVn4MhPCCDZq0esCv+oTo4O55YJxPZr3zGnexAyny+M/ZtQa+E3OBTQ7LSwrXtPjNVpsLooqAgudW7poZWZMzyDzyaeIPHMBroZ6ip96koYVy3p0nWXbSrn7hdXc8PQyPL4EjZaXS6dR4/S4eHbrS+SbCpkcN56rRl/qH1vXZA+YKzrciNvd+tyjwnr/2igeDxXvvOktu5KcTPrDj6GNiOz1PAJBfxCCTyAQnFBsOVDlj0uD1p6yNdZavjz0LShqXDUpNNtcfutWZ8wa330iRXcoHg+V772DNVcmeMxYEn57fZ+L7XZm4WuxTLUVg1ecmc2jvz0Jg65nFsQWsfj2d/v542vr2bTfa9GbnTQDo8ZAXkP+kYYHYLF1tLpV1XVdcFml0RC/6CoSb/4dKoOBqg/fp+Ldt1A8ni7HLN10mI9+anU1/+n19d4NpeX5aPixcBkl5jLGx4zm2rGL0GtarXqhxsDQ9nmTkrntIm8WtkoF4SE9d7OD9zUue+lfmLdsxpA5gvSHH0Vt7JuVUCDoDyJpQyAQnFCU1bbGg11xZrZ/e3vVblweFyM5mb1OIyXVZtQqFXqtGkcb65ZWo+Ifd84NcP31lYq33sC8dQvGESNJuec+VOq+/wbvTPC1HFOpVPz9ttkY9Jper7tFGNodbqocVl5dvJcZYxLQqDWMihzJntr9yHV5SNGjupkJbA53h2M1Jhsut6dDLF9bwmecjCE5hfLXXqFxzWpctbUk3XoHmpDAGDpFUfjPssAOVNUNNjbsrcDlE4k2XRXfFf5MiC6Ya8ZejkET6La/+YJx/PHV9f59nVZNRIieV+47FafLg6YXr5Hb0kzx03/DUVaGcWSWt1WaUfS4FhwbhIVPIBCcUPyytQSAV+47lQUntRYZ3lO7HxUqRoV4i+e2uGzb1+mLDjP2W+wpikL1Z5/QtHE9hvQMku+4u9cxe+1pa8VTOtmKiejbuvVHsAQuHDEfgJUla3s0V4vgWzgznRfunsvcCUl4FIWq+u7bqhlS00j74/8QlCNh2b+Por88RtOWzQHntC0fc+HcEcRFei1pr3+zz3+8UeeNBbxmzGWE6jomXcRHBjF/Wmt9wRYLp0HXO7HsMjVQ+vxzOMrKCJk8heS7fo82onelWwSCgUQIPsEJzfBLah1+z2ggqWloFRZtXZo7q/eQ11BAZnh6h5p67V2f0eH972/atGE99Ut/8PZM/d3taCP7H8/V1sIXGaI/wpm9w6Dt+jaRGZ5OhD6cwsbD3c7TaHGwbm8F4E0ACQvW+xMo/v1zz7J9NSEhpN7/EBGnno6rvp7yV1+i7NWX8Di8LvriSjPg7Z5y3pxMJmbFdpijXn0Yo8bAmOicLq9z+Rmt1kq9tvdC3FlfT9lLL2IryPeKvdvu9LfDEwiOFULwCQTDEJGz0TkVdV53bnv34Tf5S9GoNFw5+hJyUr3ia7YvRs+gD7zhhwX3T0xZ9u+j4u03UGm1pN77APqEhH7N14KmTSLSnAlJwMAklui6ifXLDE/D5Giiwd6xy0cLbo+HP7+zmRXbS4HW/+mEETEA1LdLlDgSKrWahGt+S/ojj2NIz8C8ZTOFj/wJR2UFB0u9a8hIDEOtUgV0DQFQ6WzYMTMlfiJaddcRTW3fHyHG3kU+WXJlSp55Clv+IUKnThsQ661AMBAIwScQCE4YWrprtI3dq7PVU95cyZjoHJJDE0mND+W5O+Zw3cLRAJw9Iw21SuV3maYn9L2rhqupkaqPPwRFIfmue9An9j/xo4W2Fr7OSp30FaNP8IUF64iNMKLTqlHaKMn0cK9bPLf+UJdzvP+DHCDqjD7BN25ENGjtWFPW8uaeDzHZm7qaouO60jNIe+hhr7WvrpbCJx5Ftfx7oh0mQnwlZMZkRAVmWmsdaNDym160QdP10MLnamqk8v13Kfn70zhrqok6+xySbr1j+FcEEBw3iKQNgUBwQuBRFF7/2hvL1dZq833BLwCMjx3tP9a29MbJYxOZlhOHy62wYW8F8yb3vXZa5btv4ygrI3zuKYSMG9/9gF4Q3KZOnrYfyR/tSY0P5a5LJpCVEsELn+2kxmTjvR9kvyCeEjeebwt+5PuCn5mROLXTObblBhYwNuq9a9VqVERM2IldV8f2qkrKzBU8POOeI1rf2qI2GEi45rcYR46k/NNPmVO/izn1u1D9748Up6WhiYjgSquTprBQNjSOJNjpYkpZOJ78IixuN+7mZtzNZly1tTiqqsDjRhsVjXHkSK6cFs0v+VZS4o5cXNlZV0vd999hWrEMFAVtdAyJN95MsDT6iOMEgqONEHwCgeCEoLxNdm6Gz+pjc9nZXLmN+KBYZifN6HKsTqtBp4XTp6Z2eU531P/8E807d2AclU3Ctdf3eZ6uaNsGrMXaN1C1Aqdke12jZ05L440l+yirbS1AnRASz7gYid01+2mwmzrtKRsfFURJdTO3XjCOJeuLGJnkjWfbW3sAh64OtymGpIgoKi15fHzgC64ec2mvLGMRc07hy6oQGjZtJtNazuRQO9a8g/5/QAigyhpBuNnN9BUHKFnx/4484S+QDtwUGkbV8yvQJ6egT07GkJyCSq/HXlKMLS8P2+EiHKUloCjoYuOIOPV0os46W7hwBUMSIfgEJzbDLMdhoG7ww5GmZm9g/wVzMkmI8tbX21WzF6fHxbSESWjUg3eTtpeWUv3px6hDQki46pp+lV/piradMFpdugP7hpg1PpH3lh7A6Qysg5cZns7umv0UNRYTGddR8FlsLoINWqbkxDHFF1dndjbzzt6PAXCWZBOpSoPEBjZUbGFC3Fgmx/XOArpKboCIbOS40Vx476l47HY8Nis1ljreXvMykYdUNOiD0S28kDCVC5VOhzooGE1oCNqoaHTxCai0GpyVldjyD2HNz8deWID1YC7WXLnTa6q0WowjswifM5fwk2ej1g9csoxAMNAIwScQCI57DpWaOHC4nnNnZXZ5jtXX0aFFGJmdzfw392tUqJgaP2nQ1mYryKfkuf8Fj4eEa6/HkJY+aNdqQdeSWTsIPwD0Wg0OV2A9vcxw73MqbCxmUhuh5nJ7UBRvN432JU321+Zic9uYlzyXpZtCwann5vHX8rdN/+DnopWMjxndY9duW16591TA6+5VGwysrVpNaYyaiEMqLOoQks+f1yERpy3asHCCRmXT0kzNY7fjqKzAUV6Go7QUxe1CFxdPULaEPjFRWPMExw1C8AkEw5ETKFDc4XTztw+2AjB7fBJRYQaKq8w0mO1MGBnjP68lYaNF8K0p3UCzy8LCzPkkhw5c8kTA2qqrKH/tFTw2G7EX/4bQqdMG5TotRIUZqG+yE93Hfq89Qa9TB7RZA8gIT0On1rGhfAtnZ5yBUeuNgXz87U1Y7S6arS7iIwMLDu+t9VrNZiROZSm5uDwKyaGJjInOYX9dLqtLN3B62twercmjKKiA7NRA6+KhhkJWlqwLKLVzJLHXGWqDAWN6Bsb0jF6NEwiGGiJLVyAQHNcs21bq33a6PSiKwuNvb+L5T3cGCJOWGL7E6GB21+zjm/ylGDUGzkibNyjrUjweKt95y5+xGf2r8wY9Y/ORa0/iT1dPJdKXdDIYHn6dVoPDGWjhC9IaOS11Do2OJuT61k4X5bUWGswOPIpCRGhrIkyBqYitVTuINESQFu4tIdPSr/a3YxehUWlYVboOj9J1C7W2uFweFEDfTsytLFmLW3FzhXQJGrWa9Pi+Z1izfND+AAAgAElEQVQLBMc73Vr4JElKBP4KTJJlebrvWDTwNJAPZAMPy7Jc6XvsASAciAJ+lGX560Fau0AgOMExW518urxVYHy1Op8Neyv9+3VNNn+8Xksf19BgLf89tBQVKm4cfzXBusFpdVXxzptYc2VCJk4i7tJFg3KN9kSFGYgKM1Bd4StvMgiKz6BVY/IJ6VqTjRqTFSk9CilqFD8dXsHhxmImxY3D2c7te9b01q4ma0o34lE8LJIuQqvWoFGrcHm8iw3ThzIlfgJbKnfw0f7/cs3Yy7pdk9s3tm0tQqvLxu7a/cQGxTAxdiwbWNVtTUGBYDjTEwvfXGAxgbVcnwJ+lmX5aeAr4FkASZJmAqfLsvwo8AfgOUmS+l9CXiAQCDrh/R8OBOy3FXsA+wvrWb6thM9XHsLh9AAKP5QuodRcztT4iYyNkQZlXeZdO2havw59SioJ1984KNc4VujauHSfeGcTz/x7OzUmK+nh3gzmwsZiAExmR8C4rBRvZq7T7WRXzV4iDRGMi/GWLtFoVH4LH8DlOReSGprMhoot/FD4S0Ddv87wC742BZM/zf0Kh9vBSQmTRS08gYAeCD5Zlv8LtK+GeS7Q0l16rW8f4LyW47IsO4H9wOD4SwQnNFvlarYfrO7+xG5Qhlua7glEg9nOFvnI74H3l8p8tG4jP9V8yV7VUgwT1rC1ZhtJIQkski4alHU5yssoe+lFUKlIuPraY9pSazDe33qtBrdHweX20GzzJsKUVDUTogsmPjiWQ6YCDtbnU1jRettYODMdjS8zeUnBj1hcVqYlTEKt8h7TqtW43K1rDdYFc3bS+agVHd/kLw1wE3eGxyf4WsrRWJwWtlbuJD44lnMy5w/ckxcIjmP6GsMXT6sIbASiJEnStjve8lh835cnEHSk2ebkpS938+Lnu8kr6bqdk2B4c7jS+1WTHBvCgpNa3YUnj03wdcNQ0Cbmo5c2o4mqwhVSgcrYzMSYcdw5+SaCdcEDviZXYyNlr74MbjeJN95MUHbX/VoHE9XgVGUBQO/LAP7dsyv8x/71+S4ALsw6F7fi4b8Hv6ay3hszefdvJnLp6d7etG6Pm/VlmwnTh3LuiLP84zUaFS53YLzewYMerAcmA/CFvJTiqsZO17PlQBUPveq1P2h9gm9V6XrcipuTE09C14dMX4FgONJXwVcFtPSrCQfqZVl2tTve8lhV35cnEHRkb0Gdf3vT/sojnNk1wsNz/KEoCvLher8waLJ4Y/LOmp4W0DkjNtKAK+oQxsnL0aXngkeL/eBkbDtPwb3nDG6ZeG2nxYEHgprPP8NRWkL4rDmEzZw1KNfoGYP3Bm+Jg+vMyzopbhxjoyVKzGWUOLxWOYPvfI/i4dODi2l2WZgaPxGDprVmnVajxu0OnLDJ4sTTFI27IZZS62H+suTzTtfz8ld7sPuSSNRqFZXNVSzJ/5EQXTAzkwKzosXHXnAi01fB9y3Q8m02x7cPsKTluM/iNxZY1Z8FCgTt2Z1f698urOx5703B8c2KHWU88+/tfLO2EICKOq8FKTrMgKNNNu5B1lEfvh2V3oG7Pg7b7jl46hNR7CEkhkUPWjxXw7KfaVy7Gn1yCgnX3zhs48YM2iPfNuanz0OtUrPfvQpUHnQab+/d7wp+Yk3pBvRqHXOSZwaM8SZtBFr4vIJehSN/AopHjTapkGaHJeCcnXk1AfsqtcIXed+ioLBIunjQhL1AcDzSreCTJOlU4BogSZKkRyRJCgIeBhZIkvQIcDFwP4AsyxuB5ZIkPQW8CNwry3LDoK1ecEJSWW9FpYL4yCCq6izdDxAMCzb7rLnr9pQDsL+oHo1aRVZKhC+JQEGbKnPYtQeNKxTbjnmkmE9j6sjWdmhJMQPvxgVwNzVR8+XnqIODSbr5d4PSSaM3tGjNwei80lmma3xUa6bzoVwt6eoJOLGhiS1Fq1WxqWIb3xf+QpgulP+ZeR8poUkB47WawBg+gCaLL+nDZcBVmYHaYOWTfd8GnFNSbQ7Yr9DuZE/tftLDUnrdqUMgGO50G9wgy/JKYGW7w1bg5i7O//sArEsg6JT6Jjs1DVZCjDoMeg1VDVZv2yajiNMZ7uSXe2O4dFoNFpuLgvJGspIjCDJoGTsWVlnXoQ5pIlwbyVjtApY7mpicHcf5szO54ellAMRFDnwJFsXtpuT5Z/FYrcReevlR6aTRcwZe8WnUHS2XVfVWnC4POq2az5YfQmUMJ2iCGl3GPr4tVbHPtAedWscfpt1GbFB0h/Hadlm60OqyB3CVZKONKWNr1Q6udF5AkM5b02/Tfm/EkCa6HE18MWXaOiINEdw1+RZ/QohAMNQ4Umm7NudMB+4BtgMSsEmW5Td8j70KjG5z+l2yLO/u7rriLik4LnD5Cure99JawFs8t7jK++v+rW/3cdclE/s28TBL0h2uvXRLqs2+sire98LewjoUBcaPiGZ3zT5eP/Au6hAYHz2WRaMvJEwXzvQME9lpgS49nWZgRYDH4aDirdexHy4idOo0ouYvGND5hyLVDdZOjz/z7208fLU3Zk6xhWDLnYI+Zyv7THsI0gZxWc6vSQiO63SsRqP21+FrocnqID0+lGlSHJlJ4by47iC65AI+3PMlN09ZRJPFQXGNCd2IvWjjyryDHEZumHpVp7UVuyvtIhAcRVpK230qSdL5eEvbXdPunCTgBVmWN0mSpAOqJEn6UpblGqBCluVbe3tRIfgEQx6H081Dr67H1Nxa16ttX862MX09Z3jGV7UwXMLHrHYXb327n6KK1gzNGpONSp8rPyk2mG/yv0KFirun3EJOVJb/vNEZUR3mc3sG9qZft+RrzFu3oEtIJP6qa1Bph8hXaotLdxCmbt9lo4X8ska+31jk3/eY4rDvnc21v05iatK4gPZm7Wlv4bM73DicHsJD9Jw/Z4T34Fej8ERWs4NtFDeeyrIt5eizdqCJqiZCE011bgoTYseSFZnZ9eKHyedCcNxzLvA33/Za4L32J3TStMIFtJi9wyRJ+h/fsWbgVV/i7BEZIt9OAkHXrNxRFiD2gAAXrsut8N36QubPSEZRFH8fT8HxTWlNM4++ubHTx75YlQ/ANstySs3lnJQwOUDstefasyXeXyozc2zCgK2vYcUy6r5bgiYikoxHH0dtHJyOHX1BNYiK75qzJb5ZV8iVZ+Zw9wurAx77fGV+wP6FJ03m1IzMbufU+OrwKYqCSqUiv8xbbikpJsR/zq+mZ7FkXzWG7B08veV577goSA1J5r6T7qBghJm0+LBO5xcIjjaSJC0FOvvCeYwuStsdQbTdCTwly3JLHbKPgF2yLLskSfpf4E/Ak92tSTUUzNwul1vRakXLG8HRo6LMxOvPrWLGKSM458LhE9z92Xtb2L+rnPv+fBYhoUL4nqhUVzTxyt9XMG1WBuf+po/hDsOMJx9YQmp6JNffNfdYL0UwPOizvViSpGJgtizLxb54vjxZljsGt3rPvRIYKcvyX7t4/BzgIVmWT+/uukPCwldfLzItBZ3z1rf7WLu7osPxjMQwslMiWF60Af3IPSgeNRkRyRxuKgHgrsk3Mzo6u8t5630uQavFQXX18CntYrd7fyDW1pqxWB3dnD20qDFZiQoz+DsyvLVkH2v3BL72N547hre+24s6opqgUXvxqB1cO+byDvXWBhNnfT1FTzyCp7mZhOtvImLO0BMQdfXNAFhtzkF/f7ckxHTGy/fOw6jv/jbzz892suuQNzTjlXtP5bZ/ePMEX7h7LmHB3np9dY027n95XcC4uROTuOFXY3q2UEXB6XIPq8+74NgRF9cva3JLabti2pS2kyRJDaTKsnzYt38TECrL8l8lSZoA2GVZzpUk6e+yLD/gmysbOHIrGh8ijUkwpGlbZPm350hct9CbmDQtJ46Z0/VesedWY993Mg9Nv5t7pnjjWN/Y/T67a/YdkzUfW469xb4vHK5s4sFX1vOfX1q/tw6VNaLXqkmJa3Xr1WsKiJixEkPOdjxqBxePOo8ZiVOPyhoVRaF57x6KHveKvdhLLx+SYg/amB6OkQfn2rMlLpiT2SOxBxDWJiY3r6y1e07bWN3ocCOPXHuSf3/m2ASuWnBsOpkIBP2k09J2wERaxd+vgeeACyVJWgH8G0j2nRcnSdLTkiQ9BpwMPNKTiw4JC59A0BVaX1ZleLCOUyenAJCZGEZybAgf5/4XAEfeZCI13uy/7KiRXDTqXJbkL+XD/Z/x2MkPEDIILbQEA8sen7D/eWsJVy7IoaiiiYo6C2MyovzZlerQen6p2o4HN6ckz2JS3DjGxBydG77iclH96Sc0LPsZgJgLLyZqwdlH5dp94hgkJyTFBFNe67WcnzYlpVdjYyKM/u3nPtnh325fvNqgbw39GZEU7u/iIRAcT8iyXEcnpe1kWd4BTPBtLwY6rRwuy/J1fbmuEHyCIU1YsI4ak40nb2qtzJ+eEEaB6TCbKrYRbYxCbRhBZb2V5dtLqTFZufS0U7G6bPxQ+Auf5X7NdeMWdZh3uGSxDhf2+DKtW2q87Sv0CsCU2BB0OjUHSmoIGbMDp8fJDeOvYmr80YtLczU2Uvbyi9jyDqJLSCD+qmsJGTvuqF1/qHPp6VkcKm3kjovGc7DEFGCV6ylnz0hnX2E9eaWt1r3zZmd0OC8ytLUdW3hI768j0nQFJzJC8AmGNLUmGwlRQf44nhZWl67Ho3hYJF3E2lo3xVXNfLBUBuCCOSM4d8QCNlVsY1fNHlweF1rRQH3IUtNg5cBhb0Met0fhrW/3UVFnQaWCc2dlYDSoydMuo8Rh57wRZx01sacoCk0b11P1yb/xmM2ETJhIwvU3oQ0PPyrX7x9eYXM0PLoLZ7YKs5y0yD7NEWTQcsv5Y3nw1fX+YzPGdExwDDG2iry+CEuB4ERGxPAJhiyKotBscxEaHPjFbnXZ2Fm9lyhDJGOjJdLiAut71TXaUKvUjI8Zg93toLCx+GguW9BLDpaYAvbX7q7gUGkjOamRRIQa2FK9jRJHHskhiZyednRi5txmMxVvvErFm6+jOBzELbqS5LvuOU7E3vFpwY6NDOKeS1vFfGQXWeYTs2IAb2tFgUDQc4TZQ9BnFEVhw75KkmKCyUwc+Buhw+nB7VEINgQKvo8PfI7NbeP0tDmoVCpS4wMFX7PNm6k6JjqbVaXrWJK/lHum9rooueAo4HJ72F3QeeHspNgQqizVfH3oB7RqLXdMvhGj1tjpuQOJo7yMsldfxlFagiFzBMm/ux1dXOcdIoY6Q6HsVm9oa8kP6aJd4h0XjaeuyU58lIjNFQh6g7DwCfrM12sLeeObfXz0Y+6gzN/SwqltkeVScznbqnaRFprMwswzAUhtZ+F76oOtuNweb9X9iEwONuRjsndeiuE4ux92y/H2fH7ZWsKGvd4WktctHM20nFZhFRmqZ0n+j5idzVww8hwiDZ3GLw8olgP7KfrrX3CUlhA+5xTSHvzTcSv2jkeMbZIy2idstKDTakjog9g73j4bAsFAIwSfoE+4PR4WrykAoKS6eVCusXTTYQBCfXE7VpeNl3a8iYLCgozT0ai9N4eosI6uH5PZgUqlYky0BEBh4+FBWaOgf7QN0h+bGcUdF09gqk/0GWPq2Fa1i6SQBM5IO2XQ19K4YR0lzz6D4rCTcN0NJFx3A2q9vvuBQ5Dj0aULXjeuTqtm3IhOa9AKBIJ+IFy6gj5RUtUq8pwuD1a7iyDDwL2dLDaXv1THghlp2Fx23t7zESZHE/NSZncI3D95XILfUgTg8f2cHxGRDngF36S4EyezsivryFBjq1zt326J2brl/LEU1lXy0v7/Q6VS8asRCwb9+VR98hENP/+EymAk+fY7CRl3vHdfGcRmuoNIkEHL83fOwTiA3yVtOT4+FQLB4CAsfII+4WzT6NyjKOSXNR7h7N7h9ni464VVmJodTMyKIT4yiBUla9hXJ5MamswFWWd3EADXLxwdUIS1pcF7WlgKKlTsrN6L0+1EMHRwutz+7X/9/hR/zUUHNt7PexeXx8Ui6aJBz8qt/OA9Gn7+CX1iEql/uG8YiL3jm2CjDvVx8oNFIDieEIJP0GsazHae+mArANHhXqtMs63vYqolsNxsdaIoCgeKGvzxNvOnpeL2uFlfvgWdWss9U39HkLZjdp5OqyGsTTbv4UozACG6YGYnz6DSUsXeOrnPaxQMPHm+7NyTxyYElNj4b+431NsbOD11LrOTZgza9RVFofabxZhWLkefnEzK7+8laFTX7fiOJ1THp4FPIBAMIkLwCXrNsm2l/u3kGG/bK5vDjcvtwe3xdDWsU+qb7Nz23Er++dlO7n5hNUs3FbNyh3f+m88fy4SRMXxX+DM11lqmxU/uVOy1YPH1kQV45/sD/u3pCZMBOFh/qFdrEwwuLbX3Zo5trbe2r1Zmc+U2MsLTuGjUuYPmylU8Huq+/YbaxV+iDg4h+fa7h2dyhshUEAgEPoTgE/QKt8dDY7Pdv5/kE3zvfn+AW/6+IqAtUk+476W1OFwef+P0L1fns8UX15WVHI7b42Zt6UZCtMFcmnPBEefSqlvfzi21ugAyw9MJ1YWwrnwzxU1l7UaJG+KxosqXhd22V+6O6j0AXDLqfH9SzkCjeDxUf/IRtV99gTo0lIzHnkCfmDgo1zrWiHe3QCBoQQg+Qa9445t9rNpZ7t9Pjg0sj3DgcEOPa395PB3Pc7paLYRRYQZ+OrySJqeZkxInd1uDbdb4BM6Z6U3SsLax9uk0Oi7LuRCH28G3BUu9B0WI0DGlrtHGlgNV6LVqf7KGoijsr8slSBtEZnjaoFzX43RS9uI/aVj2C7qERNIffgxd7DC07Ak6R3zuBScwIktX0Cs27a8K2E+JDe1wTmOzA4MR9BodalXXvynqm+xdPjYqNYIqWxVL8pcSrg/rUVkOjVrNZaePYltuNYfKTJitTn9s2LSESfxUtJy9tTI11lpUdF7FXzC4vPv9fnRaDeHBOtwehQXT0/zJGtuqdlJnq2dq/MRBse45qqso/edzOCsrCcqRSLzpd+iih2f5D5UI4hMIBO0QFj5Bj2kfnxdk0AY0MwdA7eI/uV/xwOrHeXz9M5SZK7qcr6WwcgvnzmrtyZmcDC9ufwMFhatG/4bYoJj2w7vktMkpOJwe/vDimoDjc1NOxqN4eHvPv3s8l2DgyCsxsWpnOb9sLeGnLSWoVHBem9d8Rck6VKg4f+TZA3pdxeOhYdUKih59GGdlJeGz55Jy9z3DVuwJBAJBZwgLn6DHVNa1CrSrFuQwb1JyoPtW40SftZOdDTWEaIOps9Xzzt5/c8/UWwnRdayM3xLDdcWZ2YzNiKLCN79Kb2G/aiNmp5lzRyxgXMzoXq1z3qRkPl2eh7udy3ha7DQ2V2wnz1SAyTZwZWQE3VNVb+GpD7f6981Wb1Z3sK+ott3toKixmPSwVOKDB87F6rHbqXj7Dcxbt6AOCiLuiquJmHfqcVOnUCAQCAYKYeET9JhH3twIwEWnjGD+tFR0WjV6XavrTT9yN5rIGsI9Sfxt7iNMiB1DWXMFr+x8B7OjtVDzlgNVrN1dTn6ZtyxHVnIEKXGhaDUq1OE16EdvwazUMzd5Jgszz+z1zTnYqCUpJlBgVjVYueP51ezb6c3yzTN5u4QMO4/XEH1CZbWWIz6e11CAW3GTHTVywK7prKuj6C+PY966BePIkaT/z2NEnnraCSH2Wj26Q/QNIRAIjjpC8Al6TVxkx9Io6rA61JFVeKwhVG4dDx41N46/hinxEyloLOLR9f+P/XW5eBSFl7/aw1vf7mfj/ipCjFoyE8Nwup18V/0fDKO3oDZamJkwnStGX9Lnm3OIL3bvm7VeYZfrKwHiMcWiKLCmdEOP5jnems8PVRqbHQAkx7Zm5N5x0QTA+z9efOg7ACbGDkw3FIt8gMJH/4SzssLrwv3DA+gTkwZk7uMK8fYVCAQ+hEtX0GumSe1cbloH+pytqFTgKM4BRUNlnYXU+FCuG7uIaE0Cy8p/5qXtb5Ncd45/mN3hZkR6JGq1ilUlmyixFuFujMZVOoprTr+kX2vML/W6bL9cXcD5c0Zgc3izdhV7MJ7KEZjDqzuMsRcfpmnzJiwH9uNuasTd3IzHagW1GrXBiC4uDmNGJiETJxEycRIq9dD9vTTUjFgNvgSdK+ZnU1VvYUxmNInRXitseXMlpeZyJseNJysys//XWrWCqg/eA7WauMsWEbmgY2eWEwWh9wI5Md8FAoEXIfgEPSbIoCU2wohOG5hBOXcObLW6cZZk42nwFtFtKYKsVWvJ2x6DvXkC+qxdFBvWgnYauLzJHlqNmm1Vu/j84DdoVVqshyaB09DvG7RGo8Ljar3d1Zhs/m1ndTL4BJ9id9Cw7GdMa1ZjP1zUMhhteDjaqGg0KcEoHg/uZjOO0hLsRYWYVq1AFxtH6PQZRJ11Ntqw8H6t9USgwewVfJFhBsaNCEyW2FWzDxgY617tkq+9xZSDgkm86WZCJ07u95zHJSeowBUIBF0jBJ+gxzicbvS6QKtWk8NMrmsTAO7aVpfZhz/mct+iyVTWWXwdFZJwR1egiarCOHE1it2IpzmSA04t+XsK0Wl0LMq6nNc2VjM1p/9B+w9cMYWnPthKsK8Je4vgG5EURkG5QqrT61o0rVtNVbU3NjFkwkTC584jZNw41MaObmvF5cJ2uIjGNato3LCe+u+/pf7HH4g840yizz4HbWRUv9d9LGm2OTlUamJiVuyAz91SgieqXVZ3rbWeH4uWoVFpGBsj9Xl+t9lMxbtv0bxjO5qISJJvvZ2g7JzuBw5T/HJPmPgEAoGPfgk+SZIeADKBGiAbuBEIAp4G8n3HHpZlubJ/yxQca7xt0xQMukDr3o7qPTQ5zegaRmK1tyZKlFSb+XJVPqt2tnS2UOE4OAVd+gE0CYdRhzShDmkCINIQyS0TriU9PJVxv3cSZOh/DbZRKRFkJIZRXtuMw+lmW241Br2GWINCTtVGRpXWsCllGi6DjrjLriD0pJPQRR+59ItKqyVoZBZBI7OIW3QVpjWrqF/6PQ0/LcW0Yhnhs2YTd8XVqHW6I84zVPAoCrf/YyUOp4cnb5zBN+sK2bS/ilvOH8vJ4wa280RFvZUQo5YgQ+BXzvryzdjdDi4edR5h+o41HXuCeftWyt98HcVux5g1iqSbfjc826T1BqH4BAJBO/os+CRJSgT+BMTKsuyRJGkxcDFwCvCzLMufSpJ0PvAscM2ArFZwzHA4vTX49O3cuS39aadGT2cFpoDHCsrblz5RcZn0a+ZNTsDucvLe5p/JiA/jtBEzCNV5LW4thZIHAr1WjdPp4aOfcgFIaihm3sE16Jw2LHHe+m95GUFcuGDBEQtEd4ZaryfqjDOJmHOKX/iZVq2ked9eUu78PYbUwekU0R29yco8WNzgf12f+nArRr336+CHTYeZmhMXkIHdXxqbHcSEGwNc9XtrZZYWLUOn1jEneUav51QUhZrPP6P+h+9Q6XTE/Poion91HirN4LRkExy/iOQrgaB/WboWwAG0BDCFAnuBc4H1vmNrffuC4xy70w2AQd96M3V6XBxsyCdMH0pSiNeiYtBpuG7haFLjQimuMneYJyctEp1GR6ghmDvmXsB5Oaf7xd5Ao9eqUYDd+8s4s3oTl5X9gsbtZHnMVMJvvgsAh+JiS2Xv+v+2RW0wEDV/AZl/fZqIeafhqqmh6MknaFixbICexeBhadN+zmp3+92uhyvN/L+PtgFwqMzUoeB2X3B7PGg0rWJPURS+zFuCoihcP+6KbtvmtcdlauDw3/5C/Q/foY2NJeX39xJz/q+F2PPR8p8WOkcgELTQZwufLMuNPpfufyRJKgdKgDwgHmjyndYIREmSpJVl2dXFVILjAIfLK/j02tbfCN/m/0ijo4lTU+dw2sgUymotnD4lhfSEMKrqrZRUtwq+a86WGJsZRUJUxwLMg4VeDZNNuZzRsAO904YSHcueMfPZWGlgvu+WqFVp+ET+grExUr+Ep1qvJ+Ha6wiSJKo+/oiqD9/HcuAACVddgyYsbKCe0oChKAovfr67y8eLKprYU1DLP/6zE4CMxFAev673VrgWPB4FjbpV8H1X8BPlzZWclDCZSXHjezWXedcOyl97FcVuI2TiJBJ+ez3aiMg+r21YIpI2Okf8XwQnMH228EmSNBl4ADhXluXr8MbxPQZUAS13uHCgXoi94x+b3Sf42rj5dlTvJkgbxIVZC9FpNfz2nNGkJ3hf+oSo1qSHs6ancfqUlKMm9hSPh+a9e5i94WPOqd6AxuVkXdQEEh9+nKbEEQD+LhxpYSnY3Q6+2PfTgFiywmfOIu3BP2EcORLzlk3k//F+6r5bgtvc0dp5LDH56uIBTMnuPEnjUGkjqF1oUw5SmfIlT69/Gaenbx9lt7tV8FVZavihaBmRhgjOH3lONyMDqf78M8r+9U9wu4i99HKS77pHiL0jICx8AoGghf64dFOAujZirhwwAt8Cs3zH5vj2BccxeaUm1u4pByAt3htYb3PZqLbWkhaWgl6j7zAmtk1x5uzUo3dDdjU0UPTnxyh9/llCG6vYHZbFKxkXsSpmCiFhITRZvEKnpU1cfHAcRnUwG2vX8fzq/wxIrI8hOYW0h/6HuEVXotJoqPniv+Q/dB+V77+Lvay03/MPBJV1rZ0vrjgzm3mTvBnWWo2KmWMTQOUmz7YT48RV6FIOodK4KbYW8q/tr9FosbF002EOFNV3mNfp8lBYERi76VG8kYUatYpmp4WXdryJR/Fw8ahziQ3qWT9bxeOh7JX/o/77b9HFxpF634NEn73whK2vJxAIBL2lP1m6PwC/kiTpOaABGA/cA9iBZyRJygGygPv7vUrBMSO/rJGnPvD2QFWrVP6SKUWNJQCkhnbevSA6zODfDg06OtV/rIfyKP3nc3isVkImTeb1mniKg7zZpiqVt+bf9oM1AHyy7CATUGPQ6DYBqaMAACAASURBVElvWIhsXEKBfjtf5IVywchz0Gn6lzyi0miIOvMswmfOwrRuDQ3Lf8G0agWmVSswjhhJ+Oy5hJ08C01Qx/IvR4OWMjXXLRxNbEQQqXFeIZ+VFky5YTPGqTL5ajfoVLgqMnBVpRM08gD5FPHnn9+h/kAWqTGR/OXGQDfvZyvy+HlLCfFRQVw8byQzxiTgdntFtFoNX+f/QI2tjllJ05kSP7FHa3VbLJS/8hKW/XsxZI4g+dbb0cWe4Fm43aASWboCwZBFkqRoelDNRJKkQqDQt1sqy/JVvuOZwKN4w+gygftkWe7WjdSfGD43cEcXD9/c13kFQ4vc4gb/dnJssD+L9sei5QBMiB3T6Thjm+SOgcy87QrT6pVUfvg+eDzEXnIZUecspPiZ5f7HuzLcKYBOCca+byZB4zexrHg1ZeYKrh9/5YAkk2jCwog+eyFR8xfQtGUTjWvXYpH3YyvIp/brL4k47QyiF56LWt/RStonenh/b7Y6gdbX5vSpKZQ7C9njWorZaUaxG3FVpuOuTkPxldtJs8yjOXY5tRRgnFpEtTmKfbURjI2RqDXZUKtVrN3ttQRX1Vt5dfFer+DzucrNwYdYU7qZWGM0l0sX9Sgz2lFdRfmrL2MvKsQ4KpuUu+9BEzw4ST7DEeHSFQiGJE/Rs2om78qy/EQnx18FHpNleZMkSXcBD+EVgEdk6PaGEgwJTM12/3ZLCQ+Xx0VeQz5pYSnkRI3qdJzhKAq+uu+WUPn+u6j1epJ+dxvRC3+FSqVi4cnpHc69eN7IgH2zxYHd6UFxBBNdfhZjonM4UH+Qv6z/O3W2ji7LvqLSagk/eTap9z3AiGeeI/r8X6O4XNR9s5j8+/9A4/q1KAMQQ9jmioA3WcLp6jiv2eaNxAgxalEUhZWla9lg/Qary8qCtDMw5J+Bq0RCsQdzx0XepArFrePqjBtxlmSj2IJRh9fyys53WLx/JQ+8spZ//GcHVl+sJyioghvJayjA7LCA1k5d8G4MGj13TbkZnbr735qWXJnSf/wde1EhYdNnkPbgn4TYEwgEw4GeVjOZJ0nSg5IkPSlJ0mwASZJ0wOnA5h6MD0A1FOoTuVxuRasV5RQER4/qyiZe+d8VTJuVwbm/6Zlr8Xjgk7c3kbu3kgf/eg7Go2BZFQxNLM0Onn1sKaMnJHLZddOP9XKOOYpH4ckHlpA5KoZrb5t9rJcjGB4cMYBYkqSlQEInDz0GfAYkyLLcIEmSFnACuvYJrpIkzfBZ8YKBbcB5QDOwX5blSN85o4AVsiyndrfgIdFarb7e0v1JgmPCs59sZ19hPaFBOq44M5tZ4xJZU7qBj+UvuGr0b5h9hIK5T3+0DZfbw/9v777DpCrvBY5/z8zszGzvvbAsLC8dadJBQFRiixqNGkua6TEmJtHojanmppgbb4rRa2I0zcSoUSQoRoOKNEUEpL3UhWWXZXtvszPn/nFmy8Au7LJlltnf53l4mDn1nXfPnPmdt/7XbbMGJW21WzZT8vijGGFhZN9zP+7c3NO2eWfvSR59cTcAT9y7DIBHXtjFrn2lTMHGy5sKWH2wrGMImYe+MB+bq4X7NzxIWkQK9154V69Ko/qj9WQJpX/9M427d4HdTtzS5SR9+Jpup3c767H8Y+uVl9fjcjv45I87xwMcnxNHeU0z5TXNzFLJbNVl/Ohzs3hkzyPUtNTwjVlfJis6o2N7fayKUWnRuJ0OPvvQG2QlRzIlL5FVGwrISo7keFkDhrseR/oRbNGV2NxNAWnx1sZjNkZjTyoGexvek6N49KYvnLGjhen1UrlmNRUv/hPD6ST9js8SecEM6ZzRR83+KvuW5jbKyurOsnXoay/YaG31Sn6IAZGcfObhtrTWl/a0TinVPppJNWcYzURr/Y7//0al1HasjrB/BcKVUobW2vTvX9qbNEuVrujRiYoG9LFqkuPc/PIri5jnn27rg/K9AOREn/mB4t6PzRi8YG/zRivYczrJvrf7YA8gL8MaF/yK+Z3rP3/1pIBtTlQ0dLz++iMbiXPFsiBjDiWNpeyp0AOe9lM5U9PI/MrXSLvjczji46l+7VUKvvNf1O849wGhwarO7WrfseqOzhpbdRkAqwtfoqK5kgWZcwOCPQCVE98x+4bdZuD1muwvrMYALpqeCYDZHIXnyBRWRN1O8/bFhJWNZ2HGXC5KvZhWPQvPsYk0b1tO89ZLSG+ZfcbAzdvQQMnvHqPixX9ii4pi1APfI2r6TAn2+qEvM68IIYZMt6OZKKVsSqkc/+vlSqmu41aNBQ5prT3AOmD2qfufzbAo4RPD076jVXh9JpfPy+1YdrKhlF0Ve8mLzSWzhx66g61+x3ZO/vFJDJeLzC/fhXtUbo/bJsWG89u7lwQMGH1qAOH1mbiddppbrfZndY2tzEq9gA3FWzhYfZhpyYEB4mAwbDZi5swlasZMKv75HFWv/5viXz1M1MxZpNx0C4643g1t0/XnfU9B5Rm3jY3zsaP8A9IiU7lu7BVn3NZuM/B4fRwqriUzOYqLpmfy51etKeuuW5LHshlZjM+JY8KoeAzDwDRNNr+x0T97h8HCKRl8dFn37T0BWktKKH7kV7QWF1k9cb94J2Hx8b36zOJ0EiMHGgYtl4To6j66H81kKvAnYApWqd13lVIzgAzgOa312/7tPgc8oJS6BMgBvtabk0rAJ3r0J/8PekZSZ0P5wvpiAGakTA1KyUvzsaOc+L9HMb1e0j51BxHju+8l3JWrF3PCxkY6aW61qiR3HKzgvQM12BPsHKg+3O8094UtLIzkG24katZsyp7+C/XvbaVhx3bilq8gYeXl2KOien2sovKGnlcaXmIm76C81cfizHnYbWfOI7vNoLSqCa/PJCMpApthcP1FY/jHG4eYOiaJcJeDibmdY+oZhsEPPz2Hb/3fZuoaWrl6wWgi3ae3KTRNk7p3NnPyqT9gtrYSs3AxKTfejM3dt6nWRA8k0BFi2NFaV9LNaCZa6+1YwR5a6w+A63rYvwD4ZF/PKwGfOI3PZ/LHtfs63rcPtgxQVG8Nu5EZlTbk6Wo6fJjjD/0Ys7WV1E98mpgL5w7YsU9WNXHVglxWbSjgiTVWlXX6hWkU1hWxt3I/ExLGDdi5eiM8bwxZ3/wWNW+9QeW/XqJq7cvUbtxA+NKLiVywhNjE2DPubxh0zGV8360zCbPb+N6T75IY4+amy0bxfMGzlLeWMj1lKgvO0A6znc1mdMxO0j7kzmVzclg2M6vHgDrc5eDhLy/s8ZjNRw5T9tw/aNq3F+x2Um/7BDELF2HYpKVJ/1kPYxLvBZKSTzGSScAnTrN5Twlv7bACu0tmZwf8oLcHfBlDXJ1bv/19in/zSzBNUm6+hdgFPQcSvTF7fArN+8qZPT6Fo/tO8oUPT8ZmC/w1yLfP4V3v87x5fOOQB3xglfbFL19B7KIlVK19mapXX6F+1fOU/+tfZN18M3ELF/K7NfsYnR7DilnZp+1/vLQep8NGXnoMNpvBg3fModVWz9MHnqaKYkbH5HDbhBtw9KJTStd5cGePtzqeGYbRq9LTU3nr6ih/4Tlq1r8FPh/uvDxSb/sErqzTP4MQQoiBIQGfOI3V7spywdjOeVab21ooqDlGnCt2QAYl7q2GD3Zy4vHHMOx2q2RvTv9L9j68aDR/21dOpNvR0Xv32MnA3ns50VkUedLYVb43KKV87WxOJ4lXXs2RrGns/OvzzK3eRfmf/kDZunWc8OWzOSL9tICvpdVLUXkDOanRHYFsWkIEv9j2Rwrri5mTNpNbJlzfq8GPIXAO5ayU3lcrd+Wtq6Pq32upeu1VzNZWnGnpJN1wI1FTp53T8UTPOkqypIhPCOEndSfiNCUVncPkjMnsrDrcXLKVhrZG5qcP3bheLccLOfH4Y5htHlJv/8SABHs9iY0MnO0iwuXg8tErMDH5/a6/0NTW1MOeQ+ORtYd5O/ECHsu5hiPh6RjHC7ip+N9cWbIen6c1YNsDRdV4fSYTRlkdH9p8bTx7YBWHao4wMUFx28SP9jrYg87rIDM5kpiIvo3vZ7a1UbtxAwXfvo/KNauxOV0kXf9Rch74ngR7g04iPiGERUr4RACfz+S9/daQHR9eNJqwLr1bj9QcBWB22owhSUvriWIKf/IjfE1NpHzsVmLmLRjU87UPQdLOZ5pckDKFK0Zfyuoja3lkxxN8fuoniQgLzvy3dn87ullzxvH3bZFkN51kRdkWJtUf4egD95N+970dv++vv1cEwOTRCRysPsJTe/5GZXMVsc4Yrsu/ss/nvnFZPtPHJjE5L7FXnXVMn4+WowXUbt5E7aYN+BobMZxOkq7/KHEXLcPmcp31GKL/JNxrJzkhhAR8IkBZdRPNrV5GpUZz1YLRAesK64oId7hJDk8c9HR07aCRcvMtxC1dPujndIYFlni1z3S2NHshuyr2crjmKOuOv83lo1cMelq6ExUehstpp9k/uHJheCp/ylrJpRVbmVx2AH3ftyjMvx4IY39ZIaPHujnkfZdX3rcGX74oawGX5S4n2tn3KtkIt4Pp45LPul1rSQn1O96nduMGWouOA2CLiCBu+QriL76EsOSzH0P0n3ROEEKcSgI+EaB9LLr87MBeoM1tzZQ2lpMflzfow7HUb3+fkt89hunxWMHesosH4Synf4ZTP5fPP3iX2+Hiyxfcwf0bfsirR9cxMUExOvb0eXoHW7PHS2yUkzkT09i0+yQAHlsYa5Ln4U5LZbTeSEJtCeWR2USM30SJ08eaAohxRvPJSR8jPz7vzCc4R62lpdRt2UTt5o14TlrpwjCImjmLmLnziZg8BVuYTPM2tPzXshRsCSH8JOATAVo8VsDXPvRGu9eOvYWJSV5c7qCd2zRNKl78J5VrVmM4HKTcejtxiy8atPN154r5o9h9pJIjJ+o6Ar69R6twhdn52ITr+f2uP/NywWt8YVqfh0DqF59p0tLqxR1mZ+qYRO65eToNzW28+s4x9h+v4WDebLZHnCDXqo3nxpdrOL50OumzpnBBylSinAPXycZsa6OluIjG3btp+GAHTQf2g2liuNxEXjCdyCnTiJ4xE3v0maceEoNI4j0hxCkk4BMB2kv4ug63YZomG4u3EBkWwcU5SwblvN76eop++QuaDx/CHhtH2qfuIHLi4M9wcaprF48hMymKx1btxvSZVNe38LOn3wesuXjXxeayu2If+yoPMD4hf8jS1doeiLusr6zKsTpjvLG9CDA5Hr6ehgl1hPnCiWqA2EYPias3En6wCnOJHd+Uqec0mLFpmnhramg6fIjm9n9HCzBb/D25DQN33hhiFy0hasYM7BFD13tbCCFE70nAJwI0NluTrke4Oi+NEw0nqWmtY1bqBYQ7Bn4GhJaiIop/80s8pSeJmDSZtE9/Bkd0zICfp7fahzHxmbDZX3Xa7tqxl/Pz9x7hxUNrGJ/wlSFLU3eBOEBlUzWuSZtocNfia4jBaLXaV2bedTd1r6ymce9umvbtxXA4cOWOxpmcgj0mBkdcHM70dGzhEeDz0VZdTVtVFW01VbRVVdNWW4OvoQFPVSW++vrOExoGzvQMwseOxT0mn8hJk3s97ZsYOh2NE2ROMSGEnwR8IkBNgzW8R0xkZy/Kd09aJVzj4we+RKu54AjFj/yatsoKYi9aRsrNtwzpTAvd/R62jzHs85lU1jV3LPeZJqNjR6Hix7Kv6gDVLTXEuc4848VA+OBwBf/7j51AYFV7m6+N8thN2CNr8dYk0npoGhNHJXL0UCXhY/OJvfsbtBQXUbd5E/U7d9B86CDNBw/0+ryGy40jJpqIfIUrO5vw/HG4ckdjDw9OL2XRB9JpI4DEvUJIwCdOUVZtjTWXGGsFfA2eRl479iZxrlimJU8e0HNV/Xst5c/9A9PrJekjN5Bw2YcG9PhncqZ+Jzb/Sq/PpK7R07F8my5j1vgUJidNYF/VAV49uo5r8q5i0+4SJubGkxTbfSD0zt6TxEe7yM86t5KwXzyzo+N1hLvzK7v68KvYY6rwVqXQemA6XX/l2z+fKyMT17UfIenaj+DztNJWXY23tpa2ykpaS07ga2kBw8ARF+f/F2/9i43FcMjt4XwngU6gYMz/LcRwIXd00aHV42Xb/jKcDhvpCVZbrMM1BfhMH/PTZw/Y+HOmz0fFqheoXL0Km9tNxhfvJHLK1AE59kBor9Itq26ivKZzsOXfvriLX+Uu5sK0GawrfJs3j2+ktiCDjdvqmTomkbuuP30Q4RMVDTz64m6Ajhk9+qLFX5XbLj3R+rscqTnGG8c3EG6PoPLQVMDgmsV5UFTb8+cKc+JMToHkFBjT56SI84ghRXxCiFPITBuiw6Mv7qa6vpWFU9Nx+asOD1UXADAmbvQZ9uw90+ej7JmnqVy9Cnt0NDkPfH9YBXvQGfCte7+IQ10CKNOE3QWVRIZFcNWYywDY2rAODB+FpfXdHmv1xqMdr7tOWddbJZWNAe+zkqPw+rw8tvNJPD4Pl45aBj7ruS0jUTpMCD+J94QQp5CATwBW+7TtB8sBmOafP7fF28r2sg+wGTZyY/o/sb1pmpT8/nGqX/s3YcnJjPrOD3CmpPT7uAPN1k21zydWjgdgf2E1ANOSJuE2o7HHVhA2ag8tZgNmN/Vnza1tHa//sGYvYFXxPvnyXuqbPKdtf6oX1h8OeJ+ZFMmuir3UeepZmDGHFbmLO9bFRTlP3V2McN1dk0KIkUmqdAUAr75TCEBuWjSTRycA8G7JNsqaKlicOR93P3vn+jwein/5Cxr37sGVM4qML945bHt3tpfwtRuTGUNslNWm8fX3jpOdEsXiaRmkVqzgSNQrOFKOY6Yc5yfv7uWWCdeTFZ3RsW9BSV3H64raZkzT7KjibWhq44vXTjljWur9vabvuGIiSXFuTFsbzx54CYBFmfMCtk2JD2ffOX5mIYQQoU1K+AQAz6w7CMDNK8Z1NGzeV2n16Fya3b85bD0VFRT+6Ps07t1DuBpP5le+Slji4E/Pdq66DkkDUFLRSFpCZ/vFJ1+2wqqych/Oo3OJb83HW5NIYX0R//3uw7x5fCMANfUtVNW1MGFUPOEuOycqGvnUT9Z1HKd9zuKeeH0+TlY2ERvlZN7kNPKz4thRtovK5iouylrQEVg+eMccvvKRqURHSAmfsEjfBCHEqaSETwTIy7DGv9tfdYgPyveQ6I4nOTzpnI9Xu2kDJ5/6A2ZbG1HTZ5L26c9gc7nOvmMQRboDvxYTchNIiY9gpkrmPW0FafVNHipqm1HZKWTb83hNH+fma+N4rXQ1z+x/gXCHm7VrrQ4Xe49WkRDjoqnFe9q5Xnz7MEl5ZZxsKGNW6gXkxGR1rHv0hd3UN3lYPM0K7Hymj40n3gFgcdb8ju3SEyM7OnN0kl/8kc36+0uNrhCinQR8AoAwh42s5KiO9muvFLxOm+nl5vEfOaehDEzTpPzZv1O19hUMl5vk664n7uJLzothEeKiXYzJiGHq2CTGZsaSm2ZNEfbFa6Zw9282UFXXwp3/ux6AcJeDUf713uokcuqXc8D9Cn/d9xxJ4csAgxkXONhTv5WwOAfeylTm5I5jT5WmKfwYr9S+hW2f1THjzeMb+NDoFVycswS7zd5RAjhLJQOwrvBtDlYfIT8uj9SI5CHOFSGEEOczCfgETS1teNp8hNmtYKzV6+FQTQGZUennNH2Yt6GBol89TPPBA4QlJZP26c8QPnbopiHrL4fdxv23zep2XX5WLO/sLe14b5omYzKtwZf//h+rWtyekoczdy+lif/BaYtnr7MUI8H6sjnSjrKddyAC7IDpteOtSuFDk6fz9sn1rDr8CltK3iO7cQnWTKgGk/MS0ZUHWX3kVdx2N5+afMvgZoA4750Hz1VCiCHWr4BPKaWAm4AmYAnwXeAg8GPgMJAP3Ke1PtnTMURwldc08c3fbgKgotYaNmRvpabN13ZOM2u0FBZS/Mgv8ZSVETFxEml3fDao06QNtJhT2snFRrlIjQ8cn9BbOoorFo9l9bGXsCeUkhaeytH3c8DuYdL0JpqoZWxcHnEtY/nbv0oAg6jR4/juvPk8d+AlNpds5STP4p5px2yO4MEt2yluKAHg2rFXEO2MGqqPK853UqcrhPA754BPKWUH/ge4UmvtU0r9EWgDfgS8prV+Ril1JfAQcOuApFYE2F9YjT5WxbKZWUS6w/q0b1NLG0+9so9t+8s7llXUNuMzfTyz/0Vsho0ZqX0bH6/hg52UPPE43ro6YpcuI+WmoZ0m7Vz0ddiK9upbgNSECFbOycEwDJbPyOL1bcc71v3jWQ/Jacup99TzrU9ezeGseg4V17DywlEBx2uuieCFt49QXd+C2+Fmuns5bx1pwh5bjuFuxHA3UNrUxKTE8Xxo9MXkxuSc5QP16eOIECeXg59khBD9KuGbjdUy+MtKqQigAngcuBx40L/NBuCpfqVQdMtnmvz4L9sAK1D7+MoJfdr/ze3FAVWT7Q5UHaa6pYb56bPPHlx0UbtlMyefegKzrY3kG28m/uJL+pSe80V7pxaA//7M3I7XH7loDNsOlAUMrlx+Moz8zFwcdgfjsuMYl336MDRzJqVaAV9dK6vePsKqDQVANr7ybH/hjMmv71mKzRjegbMYXs6HtrJCiKHVn1+RUcA84Emt9X8Di4HbgRSgffCxWiBeKSVtBfupzetjf2F1R4lU1ym3PG2+Ph+v68wQYzJisNsMvvrRybxwaA0AF6bN7PWxajdtoOTxRzG9XjI+/6XzItg719/DtIQIls7I5I4rJwYsdznt/OwL8/nfOxd2LDNNyEw+c/VrXKTVY7myrtkf7Fm+fuN00hMjyM+KO7dgT37vBUjJ1ikkDhYjWX8CsVpgn9a6xv/+beAioBSIBqqBGKBKa93W7RFEr63ZfJQX1h/h4yvHs3haBk0tnVkaGd636lyfz+TA8WqcYTYe+eqSzqnECt/mWN1xJieOZ0xcbq+OVbtxAyVPPI7hcJD1jXsJHzO2T2k53xiGwa2XqG7X2QyD6AgnkW4HDc3W3ych5sxD0LicdpJi3Rw7WU9spJOahlZS4sIZmxnLg3fMPeO+QpyNxHtCiHb9Cfi2AIlKKbvW2otV4rcfaMYq+SsEFgD/6ncqBWs2W3OyHiqqYfG0DBq7BHxb95WisuMZnR7Nlj0nWTojE7ez+z9tbUMrX39kA21ek8XT0juCvarmav599A0cNge3TLihV6VKFateoGLVCxguN1l3f5PwvLwB+KTnP5fT3hHw9WYw5LyMmI7q9byMGO6/daZUyQkhRIhSSiVwls6tSqmLgN8A7SP0pwDPaK2/q5R6FBjfZfMva60/ONt5zzng01pXKqXuAR5WSpUBycD3gXDgJ0qpccAY4Ovneo6R4MW3j1Df5OFjK8adcbtWj1Vtu37nCS69MIfqLm3Fqutb+c0/O//WJ6ua+PjK8acdwzRNHnjiHdq81nP/JbM72+i9eOhlalpruSx3ea96gZY//yyVa1Zjj40l7ROflmCvC1eYveN1bpdOHj3JS+8M+NITIiTYEwPCuoykjE+IYag3nVuLgVu01u8DKKV+D/zBv65Ea/25vp60X23rtNb/BP55yuIm4I7+HHekME2TF98+AsBlF+aQGNv9fLX1TZ6A95v3lBBmP70EzoioxZ5wgv2eY5Q2JpJyyuC8VXUt1Da0AjA5L4GMJGt2hu1lu9h6cjupESlcMfrM7e9Mn4+KF56ncs1qHAkJZH75q7iys3v3gUeIrgFfTurZA76J/rmLAbJT+jfkivy8iwByQQBgSkaI4eWsnVu11vvbXyulUgGX1vqof1G0Uup+rJFRGoBHe9N0TjpTBNHBopqO19/47UYevXsJzi7BQrvi8gYAJuXGs7ugiuOlDcREtrfb82GLL8WRegx7TCUANcDPth7hmrGXMzP5Al7euYs204PbY02Rdt2SPC6fl4vH18a/j67j5YLXsRs2rh17+RlLl0yfj/Lnn6XqlTXYo6PJuvsenKmpA5MZQ27wStFaPFaHmgmj4nu1fVaXjh2Z/Qz42kkZoQCJ94QIFqXUWqC7H8gH6KFz6xmCti8Aj3Z5/xdgp9a6TSn1U+BbwA/OlqZhEfDFx0fgcJwe6IS65ORoXpp+9tKx5ORoXppx+nbf6OV57shY0vH6E1ddELDu9tRruf3Ca3t5JEj5/Kfg85/q9fbDld3fRtHtDiM5+eylcH3xf/et6PM+L/386gE5t9NpfY+SkqMJ6+bhQYwchmEQ5rAP+PV9PmrzP4Q5nQ7JDzEktNaX9rROKdXrzq1KKRcwS2v9nS7H3tZlk/8A93C+BHxVVY3BTkJQfOuxTZysaup4n58Vy7dusYZD+d6T73K0pI6Vc3KoqG3mnb2l3HvrNP6+/gMKihvIyQyjJHILtog6RkWM4fYp1xBtj+dLD1tzvEbHepixqIZNBw9hNkdihLVgjy8LOL/dsLMocy6Xj15BRFhEj+lsKTpOyRO/o+VoAc7MLDK/8jXCEhJ63P58UOPP9+ZmD2VldWfZum827ynhH+sO8a2PzSApLvzsOwCeNi8tHh9RfexxfapW/3A95WV1OCTgG/E8Hu+AX9/no7Y263vR2tom+SEGRD8fHP5FN51blVI2IEtrfazLtjcDT3fdWSn1M611e5lPPtYMZ2c1LAK+kcg0TcprmkmIcXHLJYpfPruTnJRo7n1sExNzEzhaYt2UXt5yDMKaCRu9n98ceI22lDbcKdbYNzZgYeZcbsi/GrvNHjBrRF1NGEuTV/Lm6ncZnxNHUVE9DaUnMNwNfGz5BKJd4eTF5hLvPn0w4I40er1Uv7mOsr8/DV4vUTNnkXLzLThie95HwNyJacydmNanfcIcdsJGYCm3GESGtF0TYpi6j+47t04F/gRM6bLt9cCpVUDJSqkfA42AAr7Wm5NKwBckza1evD6TrOQo4qKsoTve2F6E12dSWlUE8i8/RwAAF19JREFUgBFeZ7XNSz6OYZgkuJIwGhMpqqzBMHzEteZz49KrOtrdGYbBhRNSOnp87jxUAcDE3ARKKhvx1SSTRDYX5cw7Y9pMn4+6d9+h8uV/0Xq8EMPlIu2OzxE1c1bo9SANtd9DmTtViNPJ10IMI1rrSrrp3Kq13k5gsIfW+kPdbPfxczmvBHxBUlHbDEBMpJMo/zy4Xl/nXcmIrME1/h0Muxdfi5tZcQv4+NwVHCis4Sd/fR+ASrtxWgB226WqI+B7/q3DHcs/c+UkXt5yrNvhWtqZbW3UvbvFCvSKiwGIvGA6KTfeTFhSco/7CSGGHxmVRQjRlQR8QaKPVQMwNjP2tOFYjIhaXBO2YNh8xFZP52sXX0lSjNV7Mz+rszq1uyrACHcYX7xmMr/5566OZeNHxTM2M5bx3fQaNb1eWgoLqd+2lZoN6/HWWD2Ho+fOI/HKq3Gm9q1q8nwRagWVpwn1zyfOLuQv8nMgeSJGMAn4ujBNc8iqLPcdrQJgfE5cwDlt0RU41XsYNh835V/PwuzZAfvZbAZ3XT+Vh/+xk09fMaHbY08dkxTwfmxmbMdr0zTxlJbStH8fDbs+oHH3LnzNVmmjLTKSuGUXE7fsYpxpoRnoCTGSSA2/EKKdBHx+63cU84eX9/HgHXOIi3JxoqKRvIyYQTlXaVUjB4pqiI1yktylF6cRXodzzE4wfLQWTGDukpnd7j91TBJP3Lusx+OHOWxcMX8UqzceZXJuPC3FxTTu20Pzgf006n14a2s7tnUkJRE1czaRk6cQOWUqNnf3gz8LIc4vUpYlhOhKAj7gb68f4NV3CwF4d28pFbXNrN95ghuX53PJ7IGdRaKsuol7H9sMwJiMmI7SPWdMDba89zCcrXgK8/GWjsLRzWwaZ2O2tdF8tIBF1bsYbRwm+v0THH2tczgWe3Q0UbNmEzFOEa7G48zIDL2OGEIIacQnhAgw4gM+n2l2BHtgzZKwfucJwAoEj5bUcuulioraFlLjwzuCMJ9psn5HMZHuMGaNT+n1+brOrtE+q8bhmgLsajMYJr6icbSdyMPWhyDM5/HQsP196t7bSuOeXfgarXENIwHcbqJmziJyylTCx44jLDVVArwu5OdQhDKp0rVINggxAgO+0uom9h2tYtHUdAzD4EhxbcD6l7f4xzu0e7DHl/JOeQFlaw9TUHucsIhmFkwYxcLMC/lgVxvPvdnZCzYlLpyPLhvL9HFWb1Z9rIqc1GjCXYFZ3N5ZA+DWSxUHqg7zq+2Pg2HSengy37z0KuqbPGedU9U0TZr27aV28ybq39+Gr9Gafs2RmEj07AuJmDQFd3YOjsREDFvfSwqFEEIIETpGXMD3P3/bTml1ExEuBx6vj8df2gPAV2+YxiMv7KKl1YMj7SiOrAMYNh8ARewjLNLaf0PxCTYUbyayNQt7SgyGzYvZ6qasKYpfvVTFI3cup6C4kZ8+bQ2d0rWtXW1jK5t2l5AU6+bHn51HQ1sDj297Hq/p5VOTb2HGsqlnTX9L0XFq3l5P/Xtbaau0xtlzxCcQu2Ah0XPn4coZJSV4AkNacI14ch84neSIGMlGVMCnj1VRWm1NqfXIC7sC1k0YFUtE7gEIP4bN1UykI4LqI5mYHheGw4OvIQZfcyS5ueDMPkBh/XGcuaef4+71b2Azw3BOiASvg1+/V0hGTCK5sTlUHIvD0+bj4lnZ+PDyh91/paSxlIUZc5iR0nOwZ/p81L//HlWvrqX5kDWDii08nOgL5xK7eAnh45SU4gkhTid1mUIIvxEV8L21o7jb5SvmJfPoB0/SHLcfw2cjumkM31h2AzujG/nTWt2x3dQxiew8UMHYpvk0Vx0nKdnLTcsU5c2VbD1cwJGyCis4dDVii6rGMGBvTTl7a4BCcLbF4ciO55CthI1bCilrqmBiguJGdW236fKUl1H3zhZq3l6Pp/QkABGTJhO7ZKnVozasf/OuCiFCm0ytJoRoN2ICvpOVjWzafZLEGDfTxibyn23W9GXhCdVo51bKKssZHT2K7IblXLlwDBHuMLze+o79P/Gh8WQlR7HzUAUHj9cBsWSmJ3FBijULSr5zBt/b/G6XM5pg84Hdw/J58VS7DrC7ehdh6dXsqgGbYWNhxhw+PPby06pe2qqrqFj1IrWbNmB6PBhOJ9Fz55Gw8nJcmVmDnVVCiBAgNbpCiK5GTMD39gdWz9vp45JwhdnB7iFs1B6MpBLKmkyWZC3g+vyrAoKv1jZfx+sFU9KxGQYqOw5daHW8SE3oHEMvJzWKGeOS2bbfGgLlzuum8bfXD1Ba3cTrbzUBWWBPwRZRz/dvX0hKRBIOW2D2txQeo+rVtdRu3gimSVhSMvErLydqxgwc0YMzJuCIF2LdGEPs44j+kuvBIvkgxMgI+EzTZOu+UpxhNq5YmM1f338V9wWbMexeMqLSuWHchxkbN/q0/ZbPzGLdtiKuXji6Y5iUz18zmbt++TYAS6dndmxrGAZfunYKpmlS1+QhJsJJcUUDz75xqPOAXiff/+hKMqIiA9LWsGM7la+sofngAQCcaenEXbyC2EVLMOynT58mxFlJ6Y5A4pzTyPdCjGAjIuCrrm/lZFUTEyfBIzsfo7CpGKfDybLspVyetxy7rfugyhVm52dfmB+wLCbCycNfXkhdk4eU+IjT9jEMg5gIJwCLpqbzzp6THCvtrBrOSLKCPdPno2HnDipWr6Kl4AgA4eMnEH/xJUROnSadMIQQ/STRjRCi04gI+Nxuk4x52zjiLYV6mJ4ylY/kX0mcK/bsO3cjJtJJTKTzrNtFRzi5/7ZZfPahNwC4ZtFoWoqKaNjxPjUb38ZTUgKGQdT0mSRceRXunFHnlB4hhDiVtOETQnQ1IgI+w4CEqAhGOSezNHtRt9W3g8E0TbzHj/FhZyFthUdRq17maIV/mjObjeh580m4ZCWu7IGdvk0IIcC6BwkhBIyQgM/tcPO1mV8YknN5m5po/GAnjfv2Ur9zO97qasb71xkuN5EzZhIxeQrRM2ZhjzrzbBpi8MnPoRAjgXzThRgRAd9g8zY20LBjB/Xbt9GwYztmWxsAtqgooufNJ3LCJNx5eYSlpErbPCHEkJAqXSFEVxLwnSNPRTmN+/bRsHM7jbt34WtuBiAsNZXoWRcSOW067pwcDIdk8XAk006J0GdIwdYp5FsvRjKJRvrAU1ZG7aYN1G17j9bjhR3LHYmJxF+6kqiZs3CmZ0gwIYQYFiTeE0K0k4DvLEyfj8Y9u6j+z+s07NxhLbTbiZwylYhJUwgfN0561wohhh957hRCdNHvgE8pFQ5sAV7VWn9dKZUA/Bg4DOQD92mtT/b3PEPN52mlZt06qte9jqesFAD36DxiFi4mZs5cbG53kFMohBA9M0CmXhFCdBiIEr4fAu93ef8j4DWt9TNKqSuBh4BbB+A8Q8LX0kLNm29QseYlfPX1YLcTM38BcctW4M7NDXbyxEALsd9DGYZDdJAmfB3kayFEPwM+pdStwAZgKtA+xsjlwIP+1xuAp/pzjqHia2mh8l8vUbNhPd6aGmwREcSvvJyESy7DHh0d7OQJIUTfSaAjhPA754BPKTURmKC1vk8pNbXLqhSgzv+6FohXSjm01m39SOegMX0+6t7dQtnfn8ZbW4vhchN/6WXEr7gMR1xcsJMnxDmRfkPCkEZ83ZA8ESNXf0r4rgGalVL3AgsBp1LqLqAUiAaqgRigargGe4379lL+/LM0Hz6E4XQSf9mHSLzyamwuV7CTJoQQ/SOxjRCii3MO+LTW7dW2KKXcQJTW+mGl1HhgHlAILAD+1e9UDiCfx0Pj7l1Ur3udxt27AIiaOYukD1+LMz0jyKkTQoiBI206hRh+lFI24A7gB8AyrfWuHra7BZgOeIFDWuvH/MtzgW8DB4Fc4G6tdf3ZzjsQvXSvAxZjlfDdBNwH/EQpNQ4YA3y9v+cYCGZbG7WbN1L5yho8JSUAuMfmk3z9R3HnjZGx84QQIUXuaEIMW9OwRjdp7GkDpVQWVvw0XWttKqXeVUr9R2t9AHgUeEBr/Y5S6svAPVgB4Bn1O+DTWj8HPHfK4jv6e9yB5G1s4Oh3/ou2qiqw2YhZsIjYJRcRnjcm2EkTQdIe3+/ffZKD+0qDm5gB5PNKiY7wMwxqq5t57GdvBjslwSdfCzGMaK3fB1BKnWmzS4H3tNbtV+8mYKVSqgBYCrzrX74B+B1DEfANhPj4CBwO+yCeIZq0J383iMcX55ukxCimzMiksqLHB6zzVmZ2HKmpscFOhgiyOYtGo3efd0OgDhoDmL0gl+RkGXVBDD6l1FogtZtVD2itV/XiEF07wILVCTYFSAKaugSC7cvPalgEfFVVofejK4a/hZfkBzsJg6asrO7sG4mQpqamoaamBTsZw458N8RAONuDg9b60n6eohQY2+V9DFabvXIgXCll+IO+GP+2Z2XrZ4KEEEIIIUQ/KaVsSqkc/9u1wEylVHtz3HnAy1prD7AOmO1f3uvOsRLwCSGEEEIMEaVUvFLqv4BY4DNKqbn+VVPxB29a6+NYM5X9Qin1c+B3/g4bAJ8DPuc/xhTgJ705rzEcuu2XldUFPxFCCCGEEL2QnBx93nWElxI+IYQQQogQJwGfEEIIIUSIk4BPCCGEECLEScAnhBBCCBHiJOATQgghhAhxEvAJIYQQQoQ4CfiEEEIIIUKcBHxCCCGEECFuWAy8LIQQQgghBo+U8AkhhBBChDgJ+IQQQgghQpwEfEIIIYQQIU4CPiGEEEKIECcBnxBCCCFEiJOATwghhBAixEnAJ4QQQvSSUkp+N8V5SS7cEKaUSg52GoYTpdSoYKdhOFFKZQY7DcOFUmqCUioq2OkYLpRS45VSCyS4sSilpiilfqOUitRa+4KdnmBSSuUEOw3i3DiCnYCBoJQKB34GvKK1Xq2UsmutvcFOV7D48+Na4HKl1F7g71rr/UFOVtAopSKBy4FblVL7gbVa61eDnKygUkrdBtyrlLpPa/2CUso2En/IlFJxwH3AEuBTwK7gpii4lFIRwIeAS4GXgEigLqiJCiL/9XEPMBcoBUYBe4KaqCDxPxBdBXxEKXUMWDPS76Pnm1B5epsCZAM/B9Bae5VSRnCTFBxKqZnAr4EC4H5gAXBBMNMUTEqpScD/AWXAZ4BEINO/bsRdI11KbOzAe1g37yittW+k5YdSahqwBtgLzAcOSokWi4By4LNYgU2bUsoBI+/7opRaAWigGLgO62GgNKiJChKllBv4JtACfBHr/pEY1ESJPjuvb25dbkBxWE/nFUqp+/3LzuvP1g+VwBFgo9b6CLAeKyAeqY4AZVrrdVrrE0AV4PUHOSNqXkGllNGlFC8FeAur9OZmpVTiSMsPYD/wBrAF+DTWA9IjSqkbgpmoYFBKGf776dWACdwI3Ab8FKuEixF4fWwCHtJa/0prXQkYwMogpymYbgUO+u+j1UCeUmp0kNMk+uC8C4qUUqOVUp9RSsV0uQFt1FqXA98D7lRKJflL+c67z9dXXfIj1r/oBPDrLnlzAOtHbUS06et6fQBorRuB7/rXLQISgAnAU0qppUFL6BA59fuilLIrpcKAIuAp4DDwOeBr/u1DthSnm2ujCXgTuBOrmv/bWKVa1yqlQr5U/NRrw3/P2AX8BNiqtX4AqwR0uVLqomCmdSh0c33UA//rX2fDupfu978P2e8JdJsXzcDTwA+UUn8GnFilfE8qpS4LYlJFH5xXAZFSyolVrHwt1pMo0PHFRGu9Fiu4edC/KmKIkzikussPrXWz1rq6y2YTgA1KqQnATUOfyqFzhuujPT+2a61vB76DdeMO6SqJHq4Pr9bag1XVfzOQDOwG7EqpcaFainOGa2Mt8EutdYF/0QtAA9A41GkcSj3lB7AW654xy/9+PfAO4BnSBA6xM1wfrf7/fUASsML/PiS/J3DGvLgPeAA4pLW+B/gB8DoQHYx0ir47rwI+rKeKncBrwLz24uRTSvK+BdyhlPoDkDr0SRxSXfNj7qn54W9kG4v1pX0MaAnxJ9Oero/2zxzp/382MB7YN+QpHFo95UcicBwowarG3ANcDywK4euj27wA0FrvUUqN9b/NxPoBqx/6JA6pU/Mjz7+8APg+1g87wGQgB6sdWyjr8d7R5TuxCqgfATVHPX5XsB4GPu5/PQ/r+gj1+2jIMExz+D6oKKXGYz1lvAbs0VrXK6XswDTg8/5lv/BvawAurN5lK4FfaK11cFI+OPqSH/7trwb+CPwe+L3WencQkj1o+nh9hGNVXU7FKgX+j9a6MCgJHyR9zI94rXWVvynAFcAWrfXBYKV9oJ3DveP7QB6wDqu3//HgpHxwnMO946dAK1ZJ51Na66IgJHvQ9DU//PtcA0Rorf8y5AkeRH38riQAvwWagR1YI0CE1LURyoZdwOdvWG4qpT4PxGA1ul8CRGqtP95luzuxni5+obXe61/mAGL8DWxDQj/zYwGQrbX+29CnfHD0Mz/ygWSt9cahT/ngOIf8eFhrvefU/Yc42YOin9dGNpChtd4y9CkfHP3MDxvg9LfdCgn9yY9Q05/7hrKG7kn1dwoU55FhVTTtf9IO97+Nw3rSfgareuE6pdQlXTb/B9YT6M+VUl9USjm11m2hFuzRv/zYEGrBHueeHy6t9YFQC/boe378rP36gNBpizQA10ZhqAV79O/e4Qu1YI9+5MfQpnZwnWNePNTlu9Iowd75adgEfEqpecD/YF1Yk7CeNkYBaK0rsBraP9RlFztWG733gT+2N64NFZIfgQYgP1qGNsWDqx/5sZ0Quz7k2ggk945Akh+d5LsysgW9StffseC7WF3enwF+h3VxVQNf0lqP92/nAv4J3KO1/kAplQS4Q7CtjeRHF5IfgSQ/OkleBJL8CCT50UnyQsDwKOEzscYEe01rXYU1lt6FWutfY43yfpd/u0Ss3kB7ALTW5SF6EUp+BJL8CCT50UnyIpDkRyDJj06SF2JYzKXbCDyrA3tMbvL//23gMqXUz4Ba4D0d+nPkSn4EkvwIJPnRSfIikORHIMmPTpIXIvgBn7/ReNeLcBTW3JZgjQf0I6zBYY/42xiENMmPQJIfgSQ/OkleBJL8CCT50UnyQsAwCPi6kQ5UKqWexpqo+VWt9dEgpymYJD8CSX4EkvzoJHkRSPIjkORHJ8mLESjonTa6UkqlARuBD4BndIgNcNlXkh+BJD8CSX50krwIJPkRSPKjk+TFyDXcSvh8WLNCPCTdvwHJj1NJfgSS/OgkeRFI8iOQ5EcnyYsRaliV8AkhhBBCiIE3HIZlEUIIIYQQg0gCPiGEEEKIECcBnxBCCCFEiJOATwghhBAixEnAJ4QQQggR4obbsCxCCNEjpdQC4IfARKxJ3uOBKOAPWutnz7Lvx4GLtNYfH+RkCiHEsCMlfEKI84bWegPwFNYUUJ/TWn8U+DTwbaXUV4ObOiGEGL6khE8IcV7TWp9QSn0TeE4p9TzwG2A3kAhs1Vo/qpTKB24BMpVSvwZe0lqvVUrdCYwDmoA44Kta6/rgfBIhhBg8EvAJIULBu0AkkAL8XGu9DkAptVMptUprfUAp9WesKt0v+dctB67SWl/sf/9D4JvAA0H5BEIIMYgk4BNChBIbcJFS6iagEUgAxgDF3Wy7EkhSSj3qf58EnBiSVAohxBCTgE8IEQpmAw3AMmC61voqAKXUBYC9h30MYJPW+vP+bQ0gYgjSKoQQQ046bQghzmtKqTTgp8B3sNrtVfqX24CsLps2A3allKGUuh14GViqlGp/8P0wcNeQJVwIIYaQYZpmsNMghBC9opSaB/wAmAw8izUsSyzwJ63135VSOcDfgANABXA1sBP4FBAOPAccBP6jtX5CKXUXMB8oBNzA3Vrr5qH9VEIIMfgk4BNCCCGECHFSpSuEEEIIEeIk4BNCCCGECHES8AkhhBBChDgJ+IQQQgghQpwEfEIIIYQQIU4CPiGEEEKIECcBnxBCCCFEiJOATwghhBAixP0/o6hBoJ4HXV0AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 720x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = data.plot(secondary_y='Position', figsize=(10, 6))\n",
    "ax.get_legend().set_bbox_to_anchor((0.25, 0.85));\n",
    "# plt.savefig('../../images/ch15/strat_plot_02.png')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Vectorized Backtesting"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "data['Returns'] = np.log(data[symbol] / data[symbol].shift(1))  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "data['Strategy'] = data['Position'].shift(1) * data['Returns']  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>AAPL.O</th>\n",
       "      <th>SMA1</th>\n",
       "      <th>SMA2</th>\n",
       "      <th>Position</th>\n",
       "      <th>Returns</th>\n",
       "      <th>Strategy</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2010-12-31</th>\n",
       "      <td>46.0800</td>\n",
       "      <td>45.2810</td>\n",
       "      <td>37.1207</td>\n",
       "      <td>1</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2011-01-03</th>\n",
       "      <td>47.0814</td>\n",
       "      <td>45.3497</td>\n",
       "      <td>37.1862</td>\n",
       "      <td>1</td>\n",
       "      <td>0.0215</td>\n",
       "      <td>0.0215</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2011-01-04</th>\n",
       "      <td>47.3271</td>\n",
       "      <td>45.4126</td>\n",
       "      <td>37.2525</td>\n",
       "      <td>1</td>\n",
       "      <td>0.0052</td>\n",
       "      <td>0.0052</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2011-01-05</th>\n",
       "      <td>47.7142</td>\n",
       "      <td>45.4661</td>\n",
       "      <td>37.3223</td>\n",
       "      <td>1</td>\n",
       "      <td>0.0081</td>\n",
       "      <td>0.0081</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2011-01-06</th>\n",
       "      <td>47.6757</td>\n",
       "      <td>45.5226</td>\n",
       "      <td>37.3921</td>\n",
       "      <td>1</td>\n",
       "      <td>-0.0008</td>\n",
       "      <td>-0.0008</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "             AAPL.O     SMA1     SMA2  Position  Returns  Strategy\n",
       "Date                                                              \n",
       "2010-12-31  46.0800  45.2810  37.1207         1      NaN       NaN\n",
       "2011-01-03  47.0814  45.3497  37.1862         1   0.0215    0.0215\n",
       "2011-01-04  47.3271  45.4126  37.2525         1   0.0052    0.0052\n",
       "2011-01-05  47.7142  45.4661  37.3223         1   0.0081    0.0081\n",
       "2011-01-06  47.6757  45.5226  37.3921         1  -0.0008   -0.0008"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.round(4).head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "data.dropna(inplace=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Returns     4.017148\n",
       "Strategy    5.811299\n",
       "dtype: float64"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.exp(data[['Returns', 'Strategy']].sum())  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Returns     0.250571\n",
       "Strategy    0.250407\n",
       "dtype: float64"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data[['Returns', 'Strategy']].std() * 252 ** 0.5  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = data[['Returns', 'Strategy']].cumsum(\n",
    "        ).apply(np.exp).plot(figsize=(10, 6))\n",
    "data['Position'].plot(ax=ax, secondary_y='Position', style='--')\n",
    "ax.get_legend().set_bbox_to_anchor((0.25, 0.85));\n",
    "# plt.savefig('../../images/ch15/strat_plot_03.png');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Optimization"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "from itertools import product"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "sma1 = range(20, 61, 4)  \n",
    "sma2 = range(180, 281, 10)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "results = pd.DataFrame()\n",
    "for SMA1, SMA2 in product(sma1, sma2):  \n",
    "    data = pd.DataFrame(raw[symbol])\n",
    "    data.dropna(inplace=True)\n",
    "    data['Returns'] = np.log(data[symbol] / data[symbol].shift(1))\n",
    "    data['SMA1'] = data[symbol].rolling(SMA1).mean()\n",
    "    data['SMA2'] = data[symbol].rolling(SMA2).mean()\n",
    "    data.dropna(inplace=True)\n",
    "    data['Position'] = np.where(data['SMA1'] > data['SMA2'], 1, -1)\n",
    "    data['Strategy'] = data['Position'].shift(1) * data['Returns']\n",
    "    data.dropna(inplace=True)\n",
    "    perf = np.exp(data[['Returns', 'Strategy']].sum())\n",
    "    results = results.append(pd.DataFrame(\n",
    "                {'SMA1': SMA1, 'SMA2': SMA2,\n",
    "                 'MARKET': perf['Returns'],\n",
    "                 'STRATEGY': perf['Strategy'],\n",
    "                 'OUT': perf['Strategy'] - perf['Returns']},\n",
    "                 index=[0]), ignore_index=True)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 121 entries, 0 to 120\n",
      "Data columns (total 5 columns):\n",
      " #   Column    Non-Null Count  Dtype  \n",
      "---  ------    --------------  -----  \n",
      " 0   SMA1      121 non-null    int64  \n",
      " 1   SMA2      121 non-null    int64  \n",
      " 2   MARKET    121 non-null    float64\n",
      " 3   STRATEGY  121 non-null    float64\n",
      " 4   OUT       121 non-null    float64\n",
      "dtypes: float64(3), int64(2)\n",
      "memory usage: 4.9 KB\n"
     ]
    }
   ],
   "source": [
    "results.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>SMA1</th>\n",
       "      <th>SMA2</th>\n",
       "      <th>MARKET</th>\n",
       "      <th>STRATEGY</th>\n",
       "      <th>OUT</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>56</th>\n",
       "      <td>40</td>\n",
       "      <td>190</td>\n",
       "      <td>4.650342</td>\n",
       "      <td>7.175173</td>\n",
       "      <td>2.524831</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39</th>\n",
       "      <td>32</td>\n",
       "      <td>240</td>\n",
       "      <td>4.045619</td>\n",
       "      <td>6.558690</td>\n",
       "      <td>2.513071</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>59</th>\n",
       "      <td>40</td>\n",
       "      <td>220</td>\n",
       "      <td>4.220272</td>\n",
       "      <td>6.544266</td>\n",
       "      <td>2.323994</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>46</th>\n",
       "      <td>36</td>\n",
       "      <td>200</td>\n",
       "      <td>4.074753</td>\n",
       "      <td>6.389627</td>\n",
       "      <td>2.314874</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>55</th>\n",
       "      <td>40</td>\n",
       "      <td>180</td>\n",
       "      <td>4.574979</td>\n",
       "      <td>6.857989</td>\n",
       "      <td>2.283010</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>70</th>\n",
       "      <td>44</td>\n",
       "      <td>220</td>\n",
       "      <td>4.220272</td>\n",
       "      <td>6.469843</td>\n",
       "      <td>2.249571</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>101</th>\n",
       "      <td>56</td>\n",
       "      <td>200</td>\n",
       "      <td>4.074753</td>\n",
       "      <td>6.319524</td>\n",
       "      <td>2.244772</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "     SMA1  SMA2    MARKET  STRATEGY       OUT\n",
       "56     40   190  4.650342  7.175173  2.524831\n",
       "39     32   240  4.045619  6.558690  2.513071\n",
       "59     40   220  4.220272  6.544266  2.323994\n",
       "46     36   200  4.074753  6.389627  2.314874\n",
       "55     40   180  4.574979  6.857989  2.283010\n",
       "70     44   220  4.220272  6.469843  2.249571\n",
       "101    56   200  4.074753  6.319524  2.244772"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "results.sort_values('OUT', ascending=False).head(7)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Random Walk Hypothesis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "symbol = '.SPX'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "data = pd.DataFrame(raw[symbol])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "lags = 5\n",
    "cols = []\n",
    "for lag in range(1, lags + 1):\n",
    "    col = 'lag_{}'.format(lag)  \n",
    "    data[col] = data[symbol].shift(lag)  \n",
    "    cols.append(col)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>.SPX</th>\n",
       "      <th>lag_1</th>\n",
       "      <th>lag_2</th>\n",
       "      <th>lag_3</th>\n",
       "      <th>lag_4</th>\n",
       "      <th>lag_5</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2010-01-01</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-04</th>\n",
       "      <td>1132.99</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-05</th>\n",
       "      <td>1136.52</td>\n",
       "      <td>1132.99</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-06</th>\n",
       "      <td>1137.14</td>\n",
       "      <td>1136.52</td>\n",
       "      <td>1132.99</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-07</th>\n",
       "      <td>1141.69</td>\n",
       "      <td>1137.14</td>\n",
       "      <td>1136.52</td>\n",
       "      <td>1132.99</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-08</th>\n",
       "      <td>1144.98</td>\n",
       "      <td>1141.69</td>\n",
       "      <td>1137.14</td>\n",
       "      <td>1136.52</td>\n",
       "      <td>1132.99</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-11</th>\n",
       "      <td>1146.98</td>\n",
       "      <td>1144.98</td>\n",
       "      <td>1141.69</td>\n",
       "      <td>1137.14</td>\n",
       "      <td>1136.52</td>\n",
       "      <td>1132.99</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "               .SPX    lag_1    lag_2    lag_3    lag_4    lag_5\n",
       "Date                                                            \n",
       "2010-01-01      NaN      NaN      NaN      NaN      NaN      NaN\n",
       "2010-01-04  1132.99      NaN      NaN      NaN      NaN      NaN\n",
       "2010-01-05  1136.52  1132.99      NaN      NaN      NaN      NaN\n",
       "2010-01-06  1137.14  1136.52  1132.99      NaN      NaN      NaN\n",
       "2010-01-07  1141.69  1137.14  1136.52  1132.99      NaN      NaN\n",
       "2010-01-08  1144.98  1141.69  1137.14  1136.52  1132.99      NaN\n",
       "2010-01-11  1146.98  1144.98  1141.69  1137.14  1136.52  1132.99"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.head(7)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [],
   "source": [
    "data.dropna(inplace=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [],
   "source": [
    "reg = np.linalg.lstsq(data[cols], data[symbol], rcond=-1)[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.966, 0.005, 0.025, 0.   , 0.003])"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "reg.round(3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "plt.bar(cols, reg);\n",
    "# plt.savefig('../../images/ch15/strat_plot_04.png');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [],
   "source": [
    "data['Prediction'] = np.dot(data[cols], reg)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "data[[symbol, 'Prediction']].iloc[-75:].plot(figsize=(10, 6));\n",
    "# plt.savefig('../../images/ch15/strat_plot_05.png');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<img src=\"http://hilpisch.com/tpq_logo.png\" alt=\"The Python Quants\" width=\"35%\" align=\"right\" border=\"0\"><br>\n",
    "\n",
    "<a href=\"http://tpq.io\" target=\"_blank\">http://tpq.io</a> | <a href=\"http://twitter.com/dyjh\" target=\"_blank\">@dyjh</a> | <a href=\"mailto:training@tpq.io\">training@tpq.io</a>"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
